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147987225 = 32528112
BaseRepresentation
bin10001101001000…
…01101100011001
3101022110112022100
420310201230121
5300341042400
622403514013
73444604431
oct1064415431
9338415270
10147987225
1176597aa1
1241688909
1324875a09
14159232c1
15ced3100
hex8d21b19

147987225 has 27 divisors (see below), whose sum is σ = 265388799. Its totient is φ = 78829200.

The previous prime is 147987223. The next prime is 147987239. The reversal of 147987225 is 522789741.

It is a happy number.

The square root of 147987225 is 12165.

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

It can be written as a sum of positive squares in only one way, i.e., 53275401 + 94711824 = 7299^2 + 9732^2 .

It is not a de Polignac number, because 147987225 - 21 = 147987223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (147987223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182070 + ... + 182880.

Almost surely, 2147987225 is an apocalyptic number.

147987225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

147987225 is the 12165-th square number.

147987225 is the 6083-rd centered octagonal number.

It is an amenable number.

147987225 is a deficient number, since it is larger than the sum of its proper divisors (117401574).

147987225 is an frugal number, since it uses more digits than its factorization.

147987225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The cubic root of 147987225 is about 528.9420273972.

The spelling of 147987225 in words is "one hundred forty-seven million, nine hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 811 2433 4055 7299 12165 20275 36495 60825 182475 657721 1973163 3288605 5919489 9865815 16443025 29597445 49329075 147987225