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233313696 = 25347211167
BaseRepresentation
bin11011110100000…
…01010110100000
3121021000120020000
431322001112200
5434212014241
635052420000
75532063600
oct1572012640
9537016200
10233313696
1110a777040
1266177600
133944c655
1422db4c00
1515739eb6
hexde815a0

233313696 has 360 divisors, whose sum is σ = 875974176. Its totient is φ = 60238080.

The previous prime is 233313677. The next prime is 233313697. The reversal of 233313696 is 696313332.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 233313696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233313697) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1397005 + ... + 1397171.

Almost surely, 2233313696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233313696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437987088).

233313696 is an abundant number, since it is smaller than the sum of its proper divisors (642660480).

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

233313696 is a wasteful number, since it uses less digits than its factorization.

233313696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 233313696 is about 15274.6095203773. The cubic root of 233313696 is about 615.6209789597.

The spelling of 233313696 in words is "two hundred thirty-three million, three hundred thirteen thousand, six hundred ninety-six".