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235466640 = 243252359241
BaseRepresentation
bin11100000100011…
…10111110010000
3121102001221111200
432002032332100
5440234413030
635210511200
75556301443
oct1602167620
9542057450
10235466640
11110a07632
1266a35500
1339a24596
14233b565a
1515a12d60
hexe08ef90

235466640 has 240 divisors, whose sum is σ = 842624640. Its totient is φ = 58798080.

The previous prime is 235466633. The next prime is 235466713. The reversal of 235466640 is 46664532.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 235466595 and 235466604.

It is an unprimeable number.

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, 976920 + ... + 977160.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 2235466640 is an apocalyptic number.

235466640 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 235466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

235466640 is an abundant number, since it is smaller than the sum of its proper divisors (607158000).

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

235466640 is a wasteful number, since it uses less digits than its factorization.

235466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 235466640 is about 15344.9222871932. The cubic root of 235466640 is about 617.5087685271.

The spelling of 235466640 in words is "two hundred thirty-five million, four hundred sixty-six thousand, six hundred forty".