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232290 = 23252989
BaseRepresentation
bin111000101101100010
3102210122100
4320231202
524413130
64551230
71655142
oct705542
9383570
10232290
11149583
12b2516
1381966
1460922
1548c60
hex38b62

232290 has 48 divisors (see below), whose sum is σ = 631800. Its totient is φ = 59136.

The previous prime is 232259. The next prime is 232303. The reversal of 232290 is 92232.

232290 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 154449 + 77841 = 393^2 + 279^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2566 + ... + 2654.

2232290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315900).

232290 is an abundant number, since it is smaller than the sum of its proper divisors (399510).

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

232290 is a wasteful number, since it uses less digits than its factorization.

232290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 232290 is about 481.9647290000. The cubic root of 232290 is about 61.4719284936.

The spelling of 232290 in words is "two hundred thirty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 89 90 145 174 178 261 267 290 435 445 522 534 801 870 890 1305 1335 1602 2581 2610 2670 4005 5162 7743 8010 12905 15486 23229 25810 38715 46458 77430 116145 232290