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235254096 = 24327311433
BaseRepresentation
bin11100000010110…
…11000101010000
3121101200010221200
432001123011100
5440211112341
635202151200
75554425000
oct1601330520
9541603850
10235254096
11110881980
1266952500
133997b90c
142335c000
15159bedb6
hexe05b150

235254096 has 240 divisors, whose sum is σ = 839529600. Its totient is φ = 60963840.

The previous prime is 235254091. The next prime is 235254137. The reversal of 235254096 is 690452532.

235254096 is a `hidden beast` number, since 2 + 3 + 525 + 40 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 235254096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235254091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543096 + ... + 543528.

It is an arithmetic number, because the mean of its divisors is an integer number (3498040).

Almost surely, 2235254096 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 235254096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419764800).

235254096 is an abundant number, since it is smaller than the sum of its proper divisors (604275504).

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

235254096 is a wasteful number, since it uses less digits than its factorization.

235254096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 235254096 is about 15337.9951753806. The cubic root of 235254096 is about 617.3229144662.

The spelling of 235254096 in words is "two hundred thirty-five million, two hundred fifty-four thousand, ninety-six".