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2212243440 = 2435116131367
BaseRepresentation
bin1000001111011100…
…0010011111110000
312201011201121111020
42003313002133300
514012313242230
61003304015440
7105551521221
oct20367023760
95634647436
102212243440
11a35832270
12518a61580
1329342a3b4
1416db47248
15ce339810
hex83dc27f0

2212243440 has 160 divisors (see below), whose sum is σ = 7499091456. Its totient is φ = 535034880.

The previous prime is 2212243433. The next prime is 2212243441. The reversal of 2212243440 is 443422122.

2212243440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2212243440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212243441) 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, 1617637 + ... + 1619003.

Almost surely, 22212243440 is an apocalyptic number.

2212243440 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 2212243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749545728).

2212243440 is an abundant number, since it is smaller than the sum of its proper divisors (5286848016).

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

2212243440 is a wasteful number, since it uses less digits than its factorization.

2212243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

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

The square root of 2212243440 is about 47034.4920244707. The cubic root of 2212243440 is about 1302.9996687887. Note that the first 3 decimals are identical.

Adding to 2212243440 its reverse (443422122), we get a palindrome (2655665562).

The spelling of 2212243440 in words is "two billion, two hundred twelve million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 613 660 880 1226 1320 1367 1839 2452 2640 2734 3065 3678 4101 4904 5468 6130 6743 6835 7356 8202 9195 9808 10936 12260 13486 13670 14712 15037 16404 18390 20229 20505 21872 24520 26972 27340 29424 30074 32808 33715 36780 40458 41010 45111 49040 53944 54680 60148 65616 67430 73560 75185 80916 82020 90222 101145 107888 109360 120296 134860 147120 150370 161832 164040 180444 202290 225555 240592 269720 300740 323664 328080 360888 404580 451110 539440 601480 721776 809160 837971 902220 1202960 1618320 1675942 1804440 2513913 3351884 3608880 4189855 5027826 6703768 8379710 9217681 10055652 12569565 13407536 16759420 18435362 20111304 25139130 27653043 33518840 36870724 40222608 46088405 50278260 55306086 67037680 73741448 92176810 100556520 110612172 138265215 147482896 184353620 201113040 221224344 276530430 368707240 442448688 553060860 737414480 1106121720 2212243440