Search a number
-
+
232660890 = 233571119231
BaseRepresentation
bin11011101111000…
…01111110011010
3121012210101202000
431313201332122
5434030122030
635030421430
75523404430
oct1567417632
9535711660
10232660890
1110a370630
1265b01876
1339281487
1422c84d50
151565b860
hexdde1f9a

232660890 has 384 divisors, whose sum is σ = 842711040. Its totient is φ = 44323200.

The previous prime is 232660889. The next prime is 232660891. The reversal of 232660890 is 98066232.

232660890 is a `hidden beast` number, since 23 + 26 + 608 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (232660889) and next prime (232660891).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232660891) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7505175 + ... + 7505205.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2232660890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232660890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421355520).

232660890 is an abundant number, since it is smaller than the sum of its proper divisors (610050150).

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

232660890 is a wasteful number, since it uses less digits than its factorization.

232660890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 232660890 is about 15253.2255605167. The cubic root of 232660890 is about 615.0462784925.

The spelling of 232660890 in words is "two hundred thirty-two million, six hundred sixty thousand, eight hundred ninety".