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1230957225 = 325223392
BaseRepresentation
bin100100101011110…
…1110101010101001
310011210021002212100
41021113232222221
510010111112400
6322051404013
742334651401
oct11127565251
93153232770
101230957225
11581930423
122a42b3609
13168043074
14b96ab801
1573103100
hex495eeaa9

1230957225 has 27 divisors (see below), whose sum is σ = 2205724183. Its totient is φ = 656229840.

The previous prime is 1230957191. The next prime is 1230957239. The reversal of 1230957225 is 5227590321.

The square root of 1230957225 is 35085.

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., 443144601 + 787812624 = 21051^2 + 28068^2 .

It is not a de Polignac number, because 1230957225 - 219 = 1230432937 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 1230957225.

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, 525106 + ... + 527444.

Almost surely, 21230957225 is an apocalyptic number.

1230957225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1230957225 is the 35085-th square number.

1230957225 is the 17543-rd centered octagonal number.

It is an amenable number.

1230957225 is a deficient number, since it is larger than the sum of its proper divisors (974766958).

1230957225 is an frugal number, since it uses more digits than its factorization.

1230957225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 1230957225 is about 1071.7191408101.

Multiplying 1230957225 by its sum of digits (36), we get a square (44314460100 = 2105102).

The spelling of 1230957225 in words is "one billion, two hundred thirty million, nine hundred fifty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2339 7017 11695 21051 35085 58475 105255 175425 526275 5470921 16412763 27354605 49238289 82063815 136773025 246191445 410319075 1230957225