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1064226264 = 233374347593
BaseRepresentation
bin111111011011101…
…100110111011000
32202011112021222120
4333123230313120
54134420220024
6253334021240
735241526323
oct7733546730
92664467876
101064226264
114a6800a42
122584a7820
1313c6369aa
14a14a97ba
156366b479
hex3f6ecdd8

1064226264 has 128 divisors (see below), whose sum is σ = 2860323840. Its totient is φ = 329398272.

The previous prime is 1064226257. The next prime is 1064226269. The reversal of 1064226264 is 4626224601.

It is a super-2 number, since 2×10642262642 = 2265155081974795392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064226269) 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, 1794352 + ... + 1794944.

It is an arithmetic number, because the mean of its divisors is an integer number (22346280).

Almost surely, 21064226264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064226264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430161920).

1064226264 is an abundant number, since it is smaller than the sum of its proper divisors (1796097576).

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

1064226264 is a wasteful number, since it uses less digits than its factorization.

1064226264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 1064226264 is about 32622.4809602213. The cubic root of 1064226264 is about 1020.9661050301.

The spelling of 1064226264 in words is "one billion, sixty-four million, two hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 43 47 74 86 94 111 129 141 148 172 188 222 258 282 296 344 376 444 516 564 593 888 1032 1128 1186 1591 1739 1779 2021 2372 3182 3478 3558 4042 4744 4773 5217 6063 6364 6956 7116 8084 9546 10434 12126 12728 13912 14232 16168 19092 20868 21941 24252 25499 27871 38184 41736 43882 48504 50998 55742 65823 74777 76497 83613 87764 101996 111484 131646 149554 152994 167226 175528 203992 222968 224331 263292 299108 305988 334452 448662 526584 598216 611976 668904 897324 943463 1031227 1198453 1794648 1886926 2062454 2396906 2830389 3093681 3595359 3773852 4124908 4793812 5660778 6187362 7190718 7547704 8249816 9587624 11321556 12374724 14381436 22643112 24749448 28762872 44342761 88685522 133028283 177371044 266056566 354742088 532113132 1064226264