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232218225 = 33522911863
BaseRepresentation
bin11011101011101…
…01111001110001
3121011221220112000
431311311321301
5433421440400
635013124213
75516552031
oct1565657161
9534856460
10232218225
1110a098a98
1265929669
1339157b45
1422bab8c1
15155c0600
hexdd75e71

232218225 has 48 divisors (see below), whose sum is σ = 441340800. Its totient is φ = 119568960.

The previous prime is 232218223. The next prime is 232218251. The reversal of 232218225 is 522812232.

It is not a de Polignac number, because 232218225 - 21 = 232218223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (232218221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13644 + ... + 25506.

It is an arithmetic number, because the mean of its divisors is an integer number (9194600).

Almost surely, 2232218225 is an apocalyptic number.

232218225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232218225 is a deficient number, since it is larger than the sum of its proper divisors (209122575).

232218225 is a wasteful number, since it uses less digits than its factorization.

232218225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11911 (or 11900 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 232218225 is about 15238.7081145352. The cubic root of 232218225 is about 614.6559646294.

The spelling of 232218225 in words is "two hundred thirty-two million, two hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 135 145 225 261 435 675 725 783 1305 2175 3915 6525 11863 19575 35589 59315 106767 177945 296575 320301 344027 533835 889725 1032081 1601505 1720135 2669175 3096243 5160405 8007525 8600675 9288729 15481215 25802025 46443645 77406075 232218225