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226445108656 = 24136157730931
BaseRepresentation
bin1101001011100100101…
…1100010010110110000
3210122111100102101201011
43102321023202112300
512202224421434111
6252005532320304
722234343444104
oct3227113422660
9718440371634
10226445108656
11880423a67a8
1237a78013094
131847a069070
14ad6235d904
155d54e4c021
hex34b92e25b0

226445108656 has 80 divisors (see below), whose sum is σ = 481079951968. Its totient is φ = 102618316800.

The previous prime is 226445108633. The next prime is 226445108693. The reversal of 226445108656 is 656801544622.

It is a happy number.

It is a super-2 number, since 2×2264451086562 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7305511 + ... + 7336441.

Almost surely, 2226445108656 is an apocalyptic number.

226445108656 is a gapful number since it is divisible by the number (26) 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 226445108656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240539975984).

226445108656 is an abundant number, since it is smaller than the sum of its proper divisors (254634843312).

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

226445108656 is a wasteful number, since it uses less digits than its factorization.

226445108656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31590 (or 31584 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 226445108656 in words is "two hundred twenty-six billion, four hundred forty-five million, one hundred eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 577 793 976 1154 1586 2308 3172 4616 6344 7501 9232 12688 15002 30004 30931 35197 60008 61862 70394 120016 123724 140788 247448 281576 402103 457561 494896 563152 804206 915122 1608412 1830244 1886791 3216824 3660488 3773582 6433648 7320976 7547164 15094328 17847187 24528283 30188656 35694374 49056566 71388748 98113132 142777496 196226264 232013431 285554992 392452528 464026862 928053724 1088678407 1856107448 2177356814 3712214896 4354713628 8709427256 14152819291 17418854512 28305638582 56611277164 113222554328 226445108656