Search a number
-
+
232798080 = 27352937113
BaseRepresentation
bin11011110000000…
…11011110000000
3121020001100221010
431320003132000
5434044014310
635033400520
75524515414
oct1570033600
9536040833
10232798080
1110a454709
1265b69140
13392cba58
1422cbcd44
1515687320
hexde03780

232798080 has 256 divisors, whose sum is σ = 795355200. Its totient is φ = 57802752.

The previous prime is 232798057. The next prime is 232798091. The reversal of 232798080 is 80897232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2060104 + ... + 2060216.

Almost surely, 2232798080 is an apocalyptic number.

232798080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397677600).

232798080 is an abundant number, since it is smaller than the sum of its proper divisors (562557120).

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

232798080 is a wasteful number, since it uses less digits than its factorization.

232798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 232798080 is about 15257.7219793782. The cubic root of 232798080 is about 615.1671434126.

The spelling of 232798080 in words is "two hundred thirty-two million, seven hundred ninety-eight thousand, eighty".