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2322144420 = 2235375917729
BaseRepresentation
bin1000101001101001…
…0001110010100100
312222211112011021220
42022122101302210
514223432110140
61022231340340
7111354621231
oct21232216244
95884464256
102322144420
11a91876522
125498216b0
132b012966b
14180594788
15d8ce7bd0
hex8a691ca4

2322144420 has 96 divisors (see below), whose sum is σ = 6791299200. Its totient is φ = 592257024.

The previous prime is 2322144343. The next prime is 2322144431. The reversal of 2322144420 is 244412232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122116 + ... + 139844.

It is an arithmetic number, because the mean of its divisors is an integer number (70742700).

Almost surely, 22322144420 is an apocalyptic number.

2322144420 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 2322144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395649600).

2322144420 is an abundant number, since it is smaller than the sum of its proper divisors (4469154780).

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

2322144420 is a wasteful number, since it uses less digits than its factorization.

2322144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17837 (or 17835 counting only the distinct ones).

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

The square root of 2322144420 is about 48188.6337220718. The cubic root of 2322144420 is about 1324.2289416775.

Adding to 2322144420 its reverse (244412232), we get a palindrome (2566556652).

The spelling of 2322144420 in words is "two billion, three hundred twenty-two million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 59 60 74 111 118 148 177 185 222 236 295 354 370 444 555 590 708 740 885 1110 1180 1770 2183 2220 3540 4366 6549 8732 10915 13098 17729 21830 26196 32745 35458 43660 53187 65490 70916 88645 106374 130980 177290 212748 265935 354580 531870 655973 1046011 1063740 1311946 1967919 2092022 2623892 3138033 3279865 3935838 4184044 5230055 6276066 6559730 7871676 9839595 10460110 12552132 13119460 15690165 19679190 20920220 31380330 38702407 39358380 62760660 77404814 116107221 154809628 193512035 232214442 387024070 464428884 580536105 774048140 1161072210 2322144420