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2444122320 = 243529379491
BaseRepresentation
bin1001000110101110…
…0101100011010000
320022100001021111220
42101223211203100
520001143403240
61042310005040
7114365461023
oct22153454320
96270037456
102444122320
111044709302
12582646780
132cc496933
141928671ba
15e488e5d0
hex91ae58d0

2444122320 has 160 divisors (see below), whose sum is σ = 8050734720. Its totient is φ = 612218880.

The previous prime is 2444122297. The next prime is 2444122327. The reversal of 2444122320 is 232214442.

It is a super-3 number, since 3×24441223203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444122327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252775 + ... + 262265.

It is an arithmetic number, because the mean of its divisors is an integer number (50317092).

Almost surely, 22444122320 is an apocalyptic number.

2444122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025367360).

2444122320 is an abundant number, since it is smaller than the sum of its proper divisors (5606612400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2444122320 is a wasteful number, since it uses less digits than its factorization.

2444122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9573 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2444122320 is about 49438.0654961336. The cubic root of 2444122320 is about 1347.0208323567.

Adding to 2444122320 its reverse (232214442), we get a palindrome (2676336762).

It can be divided in two parts, 2444122 and 320, that added together give a palindrome (2444442).

The spelling of 2444122320 in words is "two billion, four hundred forty-four million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 37 40 48 58 60 74 80 87 111 116 120 145 148 174 185 222 232 240 290 296 348 370 435 444 464 555 580 592 696 740 870 888 1073 1110 1160 1392 1480 1740 1776 2146 2220 2320 2960 3219 3480 4292 4440 5365 6438 6960 8584 8880 9491 10730 12876 16095 17168 18982 21460 25752 28473 32190 37964 42920 47455 51504 56946 64380 75928 85840 94910 113892 128760 142365 151856 189820 227784 257520 275239 284730 351167 379640 455568 550478 569460 702334 759280 825717 1053501 1100956 1138920 1376195 1404668 1651434 1755835 2107002 2201912 2277840 2752390 2809336 3302868 3511670 4128585 4214004 4403824 5267505 5504780 5618672 6605736 7023340 8257170 8428008 10183843 10535010 11009560 13211472 14046680 16514340 16856016 20367686 21070020 22019120 28093360 30551529 33028680 40735372 42140040 50919215 61103058 66057360 81470744 84280080 101838430 122206116 152757645 162941488 203676860 244412232 305515290 407353720 488824464 611030580 814707440 1222061160 2444122320