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232828992 = 2635111361
BaseRepresentation
bin11011110000010…
…11000001000000
3121020002221100000
431320023001000
5434101011432
635034200000
75525004504
oct1570130100
9536087300
10232828992
1110a475960
1265b83000
133930cb46
1422cca304
151569157c
hexde0b040

232828992 has 168 divisors, whose sum is σ = 755550432. Its totient is φ = 70502400.

The previous prime is 232828969. The next prime is 232829011. The reversal of 232828992 is 299828232.

It is a nude number because it is divisible by every one of its digits.

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, 170392 + ... + 171752.

It is an arithmetic number, because the mean of its divisors is an integer number (4497324).

Almost surely, 2232828992 is an apocalyptic number.

232828992 is a gapful number since it is divisible by the number (22) 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 232828992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377775216).

232828992 is an abundant number, since it is smaller than the sum of its proper divisors (522721440).

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

232828992 is a wasteful number, since it uses less digits than its factorization.

232828992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1377 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 232828992 is about 15258.7349410100. The cubic root of 232828992 is about 615.1943704486.

The spelling of 232828992 in words is "two hundred thirty-two million, eight hundred twenty-eight thousand, nine hundred ninety-two".