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226401257472 = 2113132834551
BaseRepresentation
bin1101001011011010010…
…0010000100000000000
3210122101021220112012020
43102312210100200000
512202132210214342
6252001324401440
722233301636065
oct3226644204000
9718337815166
10226401257472
118801a675755
1237a653a6280
1318470c54610
14ad5a5c6c6c
155d511890ec
hex34b6910800

226401257472 has 96 divisors (see below), whose sum is σ = 650019464640. Its totient is φ = 69661900800.

The previous prime is 226401257471. The next prime is 226401257473. The reversal of 226401257472 is 274752104622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226401257471) and next prime (226401257473).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (226401257471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1337404 + ... + 1497147.

It is an arithmetic number, because the mean of its divisors is an integer number (6771036090).

Almost surely, 2226401257472 is an apocalyptic number.

It is an amenable number.

226401257472 is an abundant number, since it is smaller than the sum of its proper divisors (423618207168).

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

226401257472 is a wasteful number, since it uses less digits than its factorization.

226401257472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834589 (or 2834569 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 226401257472 in words is "two hundred twenty-six billion, four hundred one million, two hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4992 6144 6656 9984 13312 19968 26624 39936 79872 2834551 5669102 8503653 11338204 17007306 22676408 34014612 36849163 45352816 68029224 73698326 90705632 110547489 136058448 147396652 181411264 221094978 272116896 294793304 362822528 442189956 544233792 589586608 725645056 884379912 1088467584 1179173216 1451290112 1768759824 2176935168 2358346432 2902580224 3537519648 4353870336 4716692864 5805160448 7075039296 8707740672 9433385728 14150078592 17415481344 18866771456 28300157184 37733542912 56600314368 75467085824 113200628736 226401257472