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226496328656 = 24137118778171
BaseRepresentation
bin1101001011110000111…
…0111011001111010000
3210122121220210122100012
43102330032323033100
512202331030004111
6252015002214052
722235535012413
oct3227416731720
9718556718305
10226496328656
1188069300084
1237a911b4328
1318487860860
14ad69093b7a
155d596b848b
hex34bc3bb3d0

226496328656 has 80 divisors (see below), whose sum is σ = 479563555968. Its totient is φ = 102996902400.

The previous prime is 226496328637. The next prime is 226496328661. The reversal of 226496328656 is 656823694622.

It is a junction number, because it is equal to n+sod(n) for n = 226496328595 and 226496328604.

It is a congruent number.

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, 27715451 + ... + 27723621.

Almost surely, 2226496328656 is an apocalyptic number.

226496328656 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 226496328656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239781777984).

226496328656 is an abundant number, since it is smaller than the sum of its proper divisors (253067227312).

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

226496328656 is a wasteful number, since it uses less digits than its factorization.

226496328656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10134 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 59.

The spelling of 226496328656 in words is "two hundred twenty-six billion, four hundred ninety-six million, three hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 1877 3692 3754 7384 7508 8171 14768 15016 16342 24401 30032 32684 48802 65368 97604 106223 130736 133267 195208 212446 266534 390416 424892 533068 580141 849784 1066136 1160282 1699568 1732471 2132272 2320564 3464942 4641128 6929884 7541833 9282256 13859768 15083666 15336967 27719536 30167332 30673934 60334664 61347868 120669328 122695736 199380571 245391472 398761142 797522284 1088924657 1595044568 2177849314 3190089136 4355698628 8711397256 14156020541 17422794512 28312041082 56624082164 113248164328 226496328656