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1264869225 = 325223712
BaseRepresentation
bin100101101100100…
…0101111101101001
310021011002000101100
41023121011331221
510042301303400
6325302312013
743226132244
oct11331057551
93234060340
101264869225
11599a92a74
122b3728609
13172087839
14bddb825b
15760a1100
hex4b645f69

1264869225 has 27 divisors (see below), whose sum is σ = 2266477239. Its totient is φ = 674312400.

The previous prime is 1264869187. The next prime is 1264869253. The reversal of 1264869225 is 5229684621.

The square root of 1264869225 is 35565.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 455352921 + 809516304 = 21339^2 + 28452^2 .

It is not a de Polignac number, because 1264869225 - 29 = 1264868713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 532290 + ... + 534660.

Almost surely, 21264869225 is an apocalyptic number.

1264869225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1264869225 is the 35565-th square number.

1264869225 is the 17783-rd centered octagonal number.

It is an amenable number.

1264869225 is a deficient number, since it is larger than the sum of its proper divisors (1001608014).

1264869225 is an frugal number, since it uses more digits than its factorization.

1264869225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 2379 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 1264869225 is about 1081.4718230223.

It can be divided in two parts, 1264 and 869225, that added together give a square (870489 = 9332).

The spelling of 1264869225 in words is "one billion, two hundred sixty-four million, eight hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2371 7113 11855 21339 35565 59275 106695 177825 533475 5621641 16864923 28108205 50594769 84324615 140541025 252973845 421623075 1264869225