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232065240 = 233511192487
BaseRepresentation
bin11011101010100…
…00100011011000
3121011200010122220
431311100203120
5433402041430
635005544040
75515344021
oct1565204330
9534603586
10232065240
11109aa4060
1265875020
1339103314
1422b6bc48
1515590110
hexdd508d8

232065240 has 192 divisors, whose sum is σ = 803208960. Its totient is φ = 53187840.

The previous prime is 232065233. The next prime is 232065241. The reversal of 232065240 is 42560232.

232065240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232065240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232065241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476277 + ... + 476763.

It is an arithmetic number, because the mean of its divisors is an integer number (4183380).

Almost surely, 2232065240 is an apocalyptic number.

232065240 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 232065240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401604480).

232065240 is an abundant number, since it is smaller than the sum of its proper divisors (571143720).

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

232065240 is a wasteful number, since it uses less digits than its factorization.

232065240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 232065240 is about 15233.6876691102. The cubic root of 232065240 is about 614.5209568511.

The spelling of 232065240 in words is "two hundred thirty-two million, sixty-five thousand, two hundred forty".