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12223603644 = 2237236539689
BaseRepresentation
bin10110110001001010…
…10110001110111100
31011112212212101212220
423120211112032330
5200013220304034
65340534125340
7611624626260
oct133045261674
934485771786
1012223603644
1152029a637a
1224517b0850
1311ca594585
1483d5c60a0
154b81dd749
hex2d89563bc

12223603644 has 96 divisors (see below), whose sum is σ = 34069109760. Its totient is φ = 3335152128.

The previous prime is 12223603633. The next prime is 12223603649. The reversal of 12223603644 is 44630632221.

It is a super-2 number, since 2×122236036442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223603649) 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, 1256752 + ... + 1266440.

It is an arithmetic number, because the mean of its divisors is an integer number (354886560).

Almost surely, 212223603644 is an apocalyptic number.

12223603644 is a gapful number since it is divisible by the number (14) 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 12223603644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034554880).

12223603644 is an abundant number, since it is smaller than the sum of its proper divisors (21845506116).

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

12223603644 is a wasteful number, since it uses less digits than its factorization.

12223603644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10379 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 12223603644 in words is "twelve billion, two hundred twenty-three million, six hundred three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 653 966 1306 1932 1959 2612 3918 4571 7836 9142 9689 13713 15019 18284 19378 27426 29067 30038 38756 45057 54852 58134 60076 67823 90114 105133 116268 135646 180228 203469 210266 222847 271292 315399 406938 420532 445694 630798 668541 813876 891388 1261596 1337082 1559929 2674164 3119858 4679787 6239716 6326917 9359574 12653834 18719148 18980751 25307668 37961502 44288419 75923004 88576838 132865257 145519091 177153676 265730514 291038182 436557273 531461028 582076364 873114546 1018633637 1746229092 2037267274 3055900911 4074534548 6111801822 12223603644