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6270264225 = 325252792
BaseRepresentation
bin1011101011011110…
…01010001110100001
3121011222121102111100
411311233022032201
5100320141423400
62514105305013
7311245236501
oct56557121641
917158542440
106270264225
112728445355
12126ba95169
1378c084c24
14436a81a01
1526a721100
hex175bca3a1

6270264225 has 27 divisors (see below), whose sum is σ = 11232867763. Its totient is φ = 3343507440.

The previous prime is 6270264199. The next prime is 6270264227. The reversal of 6270264225 is 5224620726.

The square root of 6270264225 is 79185.

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

6270264225 is a `hidden beast` number, since 6 + 2 + 7 + 0 + 2 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2257295121 + 4012969104 = 47511^2 + 63348^2 .

It is not a de Polignac number, because 6270264225 - 27 = 6270264097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6270264225.

It is not an unprimeable number, because it can be changed into a prime (6270264227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1185136 + ... + 1190414.

Almost surely, 26270264225 is an apocalyptic number.

6270264225 is the 79185-th square number.

6270264225 is the 39593-rd centered octagonal number.

It is an amenable number.

6270264225 is a deficient number, since it is larger than the sum of its proper divisors (4962603538).

6270264225 is an frugal number, since it uses more digits than its factorization.

6270264225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10574 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The cubic root of 6270264225 is about 1844.0043761258.

Multiplying 6270264225 by its sum of digits (36), we get a square (225729512100 = 4751102).

The spelling of 6270264225 in words is "six billion, two hundred seventy million, two hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 5279 15837 26395 47511 79185 131975 237555 395925 1187775 27867841 83603523 139339205 250810569 418017615 696696025 1254052845 2090088075 6270264225