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151659225 = 32528212
BaseRepresentation
bin10010000101000…
…10001011011001
3101120101002100100
421002202023121
5302311043400
623014330013
73521040114
oct1102421331
9346332310
10151659225
1178675903
1242959909
13255601b3
14161db57b
15d4ab100
hex90a22d9

151659225 has 27 divisors (see below), whose sum is σ = 271969789. Its totient is φ = 80786400.

The previous prime is 151659187. The next prime is 151659229. The reversal of 151659225 is 522956151.

The square root of 151659225 is 12315.

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 20602521 + 131056704 = 4539^2 + 11448^2 .

It is not a de Polignac number, because 151659225 - 27 = 151659097 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 151659225.

It is not an unprimeable number, because it can be changed into a prime (151659229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184315 + ... + 185135.

Almost surely, 2151659225 is an apocalyptic number.

151659225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

151659225 is the 12315-th square number.

151659225 is the 6158-th centered octagonal number.

It is an amenable number.

151659225 is a deficient number, since it is larger than the sum of its proper divisors (120310564).

151659225 is an frugal number, since it uses more digits than its factorization.

151659225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 829 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The cubic root of 151659225 is about 533.2812047575.

Multiplying 151659225 by its sum of digits (36), we get a square (5459732100 = 738902).

The spelling of 151659225 in words is "one hundred fifty-one million, six hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 821 2463 4105 7389 12315 20525 36945 61575 184725 674041 2022123 3370205 6066369 10110615 16851025 30331845 50553075 151659225