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155376225 = 34522772
BaseRepresentation
bin10010100001011…
…01101001100001
3101211100221010000
421100231221201
5304234014400
623230130213
73564450624
oct1120555141
9354327100
10155376225
117a784504
1244050969
1326261cc4
14168c7dbb
15d992600
hex942da61

155376225 has 45 divisors (see below), whose sum is σ = 288853257. Its totient is φ = 82568160.

The previous prime is 155376217. The next prime is 155376227. The reversal of 155376225 is 522673551.

The square root of 155376225 is 12465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35605089 + 119771136 = 5967^2 + 10944^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 155376225 - 23 = 155376217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 155376225.

It is not an unprimeable number, because it can be changed into a prime (155376227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 560787 + ... + 561063.

Almost surely, 2155376225 is an apocalyptic number.

155376225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

155376225 is the 12465-th square number.

155376225 is the 6233-rd centered octagonal number.

It is an amenable number.

155376225 is a deficient number, since it is larger than the sum of its proper divisors (133477032).

155376225 is an frugal number, since it uses more digits than its factorization.

155376225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 285 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The cubic root of 155376225 is about 537.6027998798.

Multiplying 155376225 by its sum of digits (36), we get a square (5593544100 = 747902).

The spelling of 155376225 in words is "one hundred fifty-five million, three hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 277 405 675 831 1385 2025 2493 4155 6925 7479 12465 20775 22437 37395 62325 76729 112185 186975 230187 383645 560925 690561 1150935 1918225 2071683 3452805 5754675 6215049 10358415 17264025 31075245 51792075 155376225