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233070048 = 253697103
BaseRepresentation
bin11011110010001…
…01110111100000
3121020120012000000
431321011313200
5434131220143
635043300000
75530030341
oct1571056740
9536505000
10233070048
1110a61aa82
126607a600
1339395793
1422d500c8
15156dcbd3
hexde45de0

233070048 has 168 divisors, whose sum is σ = 701810928. Its totient is φ = 76142592.

The previous prime is 233070041. The next prime is 233070049. The reversal of 233070048 is 840070332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233070041) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2262765 + ... + 2262867.

It is an arithmetic number, because the mean of its divisors is an integer number (4177446).

Almost surely, 2233070048 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 233070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350905464).

233070048 is an abundant number, since it is smaller than the sum of its proper divisors (468740880).

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

233070048 is an equidigital number, since it uses as much as digits as its factorization.

233070048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 233070048 is about 15266.6318485775. The cubic root of 233070048 is about 615.4066079704.

The spelling of 233070048 in words is "two hundred thirty-three million, seventy thousand, forty-eight".