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3155630625 = 3254721072
BaseRepresentation
bin1011110000010111…
…0001101000100001
322010220212122102100
42330011301220201
522430320140000
61241044041013
7141125263200
oct27405615041
98126778370
103155630625
11137a2a8aa4
12740993169
133b3a05274
1421d159237
15137086a00
hexbc171a21

3155630625 has 135 divisors (see below), whose sum is σ = 6688278597. Its totient is φ = 1429092000.

The previous prime is 3155630617. The next prime is 3155630651. The reversal of 3155630625 is 5260365513.

The square root of 3155630625 is 56175.

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

3155630625 is a `hidden beast` number, since 3 + 15 + 5 + 630 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 247401441 + 2908229184 = 15729^2 + 53928^2 .

It is not a de Polignac number, because 3155630625 - 23 = 3155630617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3155630625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 29491822 + ... + 29491928.

Almost surely, 23155630625 is an apocalyptic number.

3155630625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3155630625 is the 56175-th square number.

3155630625 is the 28088-th centered octagonal number.

It is an amenable number.

3155630625 is an abundant number, since it is smaller than the sum of its proper divisors (3532647972).

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

3155630625 is an equidigital number, since it uses as much as digits as its factorization.

3155630625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The cubic root of 3155630625 is about 1466.7701193958.

Multiplying 3155630625 by its sum of digits (36), we get a square (113602702500 = 3370502).

The spelling of 3155630625 in words is "three billion, one hundred fifty-five million, six hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 107 125 147 175 225 245 315 321 375 441 525 535 625 735 749 875 963 1125 1225 1575 1605 1875 2205 2247 2625 2675 3675 3745 4375 4815 5243 5625 6125 6741 7875 8025 11025 11235 11449 13125 13375 15729 18375 18725 24075 26215 30625 33705 34347 39375 40125 47187 55125 56175 57245 66875 78645 80143 91875 93625 103041 120375 131075 168525 171735 200625 235935 240429 275625 280875 286225 393225 400715 468125 515205 561001 601875 655375 721287 842625 858675 1179675 1202145 1404375 1431125 1683003 1966125 2003575 2576025 2805005 3276875 3606435 4213125 4293375 5049009 5898375 6010725 7155625 8415015 9830625 10017875 12880125 14025025 18032175 21466875 25245045 29491875 30053625 42075075 50089375 64400625 70125125 90160875 126225225 150268125 210375375 350625625 450804375 631126125 1051876875 3155630625