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165202225 = 5237178597
BaseRepresentation
bin10011101100011…
…00100100110001
3102111212010211221
421312030210301
5314242432400
624220505041
74044124066
oct1166144461
9374763757
10165202225
1185285971
12473ab181
13282c25c6
1417d24c6d
15e783c1a
hex9d8c931

165202225 has 12 divisors (see below), whose sum is σ = 210388444. Its totient is φ = 128589120.

The previous prime is 165202223. The next prime is 165202229. The reversal of 165202225 is 522202561.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 165045409 = 396^2 + 12847^2 .

It is not a de Polignac number, because 165202225 - 21 = 165202223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 165202225.

It is not an unprimeable number, because it can be changed into a prime (165202223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88374 + ... + 90223.

Almost surely, 2165202225 is an apocalyptic number.

It is an amenable number.

165202225 is a deficient number, since it is larger than the sum of its proper divisors (45186219).

165202225 is a wasteful number, since it uses less digits than its factorization.

165202225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178644 (or 178639 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 165202225 is about 12853.1017657218. The cubic root of 165202225 is about 548.7046375019.

Adding to 165202225 its reverse (522202561), we get a palindrome (687404786).

The spelling of 165202225 in words is "one hundred sixty-five million, two hundred two thousand, two hundred twenty-five".

Divisors: 1 5 25 37 185 925 178597 892985 4464925 6608089 33040445 165202225