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235164384 = 2534713997
BaseRepresentation
bin11100000010001…
…01001011100000
3121101111120220000
432001011023200
5440200230014
635200220000
75553602310
oct1601051340
9541446800
10235164384
11110820534
126690a600
1339949b30
1423337440
15159a3509
hexe0452e0

235164384 has 240 divisors, whose sum is σ = 852068448. Its totient is φ = 61959168.

The previous prime is 235164367. The next prime is 235164389. The reversal of 235164384 is 483461532.

235164384 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 643 + 8 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235164389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235374 + ... + 236370.

Almost surely, 2235164384 is an apocalyptic number.

235164384 is a gapful number since it is divisible by the number (24) 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 235164384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426034224).

235164384 is an abundant number, since it is smaller than the sum of its proper divisors (616904064).

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

235164384 is a wasteful number, since it uses less digits than its factorization.

235164384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1022 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 235164384 is about 15335.0703943608. The cubic root of 235164384 is about 617.2444343384.

The spelling of 235164384 in words is "two hundred thirty-five million, one hundred sixty-four thousand, three hundred eighty-four".