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265000164 = 22311213101139
BaseRepresentation
bin11111100101110…
…01010011100100
3200110122101212220
433302321103210
51020320001124
642143512340
76365315142
oct1762712344
9613571786
10265000164
11126649600
12748b86b0
1342b95140
14272a2592
15183e8879
hexfcb94e4

265000164 has 144 divisors (see below), whose sum is σ = 744502080. Its totient is φ = 72864000.

The previous prime is 265000157. The next prime is 265000171. The reversal of 265000164 is 461000562.

It is an interprime number because it is at equal distance from previous prime (265000157) and next prime (265000171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1906407 + ... + 1906545.

Almost surely, 2265000164 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 265000164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372251040).

265000164 is an abundant number, since it is smaller than the sum of its proper divisors (479501916).

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

265000164 is a wasteful number, since it uses less digits than its factorization.

265000164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 265000164 is about 16278.8256333189. The cubic root of 265000164 is about 642.3159613591.

The spelling of 265000164 in words is "two hundred sixty-five million, one hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 101 121 132 139 143 156 202 242 278 286 303 363 404 417 429 484 556 572 606 726 834 858 1111 1212 1313 1452 1529 1573 1668 1716 1807 2222 2626 3058 3146 3333 3614 3939 4444 4587 4719 5252 5421 6116 6292 6666 7228 7878 9174 9438 10842 12221 13332 14039 14443 15756 16819 18348 18876 19877 21684 24442 28078 28886 33638 36663 39754 42117 43329 48884 50457 56156 57772 59631 67276 73326 79508 84234 86658 100914 119262 146652 154429 158873 168468 173316 182507 201828 218647 238524 308858 317746 365014 437294 463287 476619 547521 617716 635492 655941 730028 874588 926574 953238 1095042 1311882 1698719 1853148 1906476 2007577 2190084 2623764 3397438 4015154 5096157 6022731 6794876 8030308 10192314 12045462 20384628 22083347 24090924 44166694 66250041 88333388 132500082 265000164