Search a number
-
+
233032986 = 232196411063
BaseRepresentation
bin11011110001111…
…00110100011010
3121020111022011100
431320330310122
5434124023421
635042412230
75526514314
oct1570746432
9536438140
10233032986
1110a5a514a
1266061076
1339381954
1422d407b4
15156d1c26
hexde3cd1a

233032986 has 48 divisors (see below), whose sum is σ = 532808640. Its totient is φ = 73405440.

The previous prime is 233032973. The next prime is 233033029. The reversal of 233032986 is 689230332.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 233032986.

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, 218691 + ... + 219753.

It is an arithmetic number, because the mean of its divisors is an integer number (11100180).

Almost surely, 2233032986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233032986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266404320).

233032986 is an abundant number, since it is smaller than the sum of its proper divisors (299775654).

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

233032986 is a wasteful number, since it uses less digits than its factorization.

233032986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 233032986 is about 15265.4179765901. The cubic root of 233032986 is about 615.3739862916.

The spelling of 233032986 in words is "two hundred thirty-three million, thirty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 641 1063 1282 1923 2126 3189 3846 5769 6378 9567 11538 12179 19134 20197 24358 36537 40394 60591 73074 109611 121182 181773 219222 363546 681383 1362766 2044149 4088298 6132447 12264894 12946277 25892554 38838831 77677662 116516493 233032986