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253226064 = 24371357973
BaseRepresentation
bin11110001011111…
…10110001010000
3122122111012212010
433011332301100
51004311213224
641043302520
76163246260
oct1705766120
9578435763
10253226064
1111aa37543
127097aa40
1340601c10
14258b97a0
151736ee29
hexf17ec50

253226064 has 80 divisors (see below), whose sum is σ = 805142912. Its totient is φ = 66783744.

The previous prime is 253226063. The next prime is 253226137. The reversal of 253226064 is 460622352.

It is a super-3 number, since 3×2532260643 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253226063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24619 + ... + 33354.

Almost surely, 2253226064 is an apocalyptic number.

253226064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253226064 is an abundant number, since it is smaller than the sum of its proper divisors (551916848).

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

253226064 is a wasteful number, since it uses less digits than its factorization.

253226064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58004 (or 57998 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 253226064 is about 15913.0783948298. The cubic root of 253226064 is about 632.6586760991.

The spelling of 253226064 in words is "two hundred fifty-three million, two hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 57973 115946 173919 231892 347838 405811 463784 695676 753649 811622 927568 1217433 1391352 1507298 1623244 2260947 2434866 2782704 3014596 3246488 4521894 4869732 5275543 6029192 6492976 9043788 9739464 10551086 12058384 15826629 18087576 19478928 21102172 31653258 36175152 42204344 63306516 84408688 126613032 253226064