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1264644225 = 335213314649
BaseRepresentation
bin100101101100000…
…1111000010000001
310021010122120202000
41023120033002001
510042222103400
6325253414213
743224204255
oct11330170201
93233576660
101264644225
11599949a19
122b363a369
131720092c0
14bdd5a265
1576059600
hex4b60f081

1264644225 has 96 divisors (see below), whose sum is σ = 2583168000. Its totient is φ = 602380800.

The previous prime is 1264644203. The next prime is 1264644257. The reversal of 1264644225 is 5224464621.

1264644225 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 644 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 1264644225 - 28 = 1264643969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1264644225.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269701 + ... + 274349.

It is an arithmetic number, because the mean of its divisors is an integer number (26908000).

Almost surely, 21264644225 is an apocalyptic number.

1264644225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1264644225 is an abundant number, since it is smaller than the sum of its proper divisors (1318523775).

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

1264644225 is a wasteful number, since it uses less digits than its factorization.

1264644225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4701 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 1264644225 is about 35561.8366370467. The cubic root of 1264644225 is about 1081.4076937075.

The spelling of 1264644225 in words is "one billion, two hundred sixty-four million, six hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 31 39 45 65 75 93 117 135 155 195 225 279 325 351 403 465 585 675 775 837 975 1209 1395 1755 2015 2325 2925 3627 4185 4649 6045 6975 8775 10075 10881 13947 18135 20925 23245 30225 41841 54405 60437 69735 90675 116225 125523 144119 181311 209205 272025 302185 348675 432357 543933 627615 720595 906555 1046025 1297071 1510925 1631799 1873547 2161785 2719665 3138075 3602975 3891213 4532775 5620641 6485355 8158995 9367735 10808925 13598325 16861923 19456065 28103205 32426775 40794975 46838675 50585769 84309615 97280325 140516025 252928845 421548075 1264644225