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233722368 = 2933112953
BaseRepresentation
bin11011110111001…
…01001000000000
3121021210022211000
431323211020000
5434313103433
635105252000
75535415215
oct1573451000
9537708730
10233722368
1110aa26090
1266334000
1339563679
142307db0c
15157bb113
hexdee5200

233722368 has 320 divisors, whose sum is σ = 795484800. Its totient is φ = 67092480.

The previous prime is 233722367. The next prime is 233722381. The reversal of 233722368 is 863227332.

It is a happy number.

233722368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2337223682 = 109252290607054848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (233722367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4409830 + ... + 4409882.

It is an arithmetic number, because the mean of its divisors is an integer number (2485890).

Almost surely, 2233722368 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 233722368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397742400).

233722368 is an abundant number, since it is smaller than the sum of its proper divisors (561762432).

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

233722368 is a wasteful number, since it uses less digits than its factorization.

233722368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 233722368 is about 15287.9811616838. The cubic root of 233722368 is about 615.9802096301.

The spelling of 233722368 in words is "two hundred thirty-three million, seven hundred twenty-two thousand, three hundred sixty-eight".