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157095225 = 32527214249
BaseRepresentation
bin10010101110100…
…01010100111001
3101221121021010200
421113101110321
5310204021400
623331032413
73615200400
oct1127212471
9357537120
10157095225
1180748a71
124473b709
1326714571
1416c14637
15dbd1b00
hex95d1539

157095225 has 54 divisors (see below), whose sum is σ = 327336750. Its totient is φ = 71809920.

The previous prime is 157095223. The next prime is 157095271. The reversal of 157095225 is 522590751.

157095225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 20766249 + 136328976 = 4557^2 + 11676^2 .

It is not a de Polignac number, because 157095225 - 21 = 157095223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157095225.

It is not an unprimeable number, because it can be changed into a prime (157095223) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3901 + ... + 18149.

Almost surely, 2157095225 is an apocalyptic number.

157095225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157095225 is an abundant number, since it is smaller than the sum of its proper divisors (170241525).

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

157095225 is a wasteful number, since it uses less digits than its factorization.

157095225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14279 (or 14264 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 157095225 is about 12533.7634013093. The cubic root of 157095225 is about 539.5781169855.

The spelling of 157095225 in words is "one hundred fifty-seven million, ninety-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 14249 42747 71245 99743 128241 213735 299229 356225 498715 641205 698201 897687 1068675 1496145 2094603 2493575 3206025 3491005 4488435 6283809 7480725 10473015 17455025 22442175 31419045 52365075 157095225