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235228032 = 273213113139
BaseRepresentation
bin11100000010101…
…00101110000000
3121101121211012100
432001110232000
5440204244112
635201430400
75554256004
oct1601245600
9541554170
10235228032
11110864336
126693b400
133996cab0
1423352704
15159b72dc
hexe054b80

235228032 has 192 divisors, whose sum is σ = 740703600. Its totient is φ = 71221248.

The previous prime is 235228027. The next prime is 235228033. The reversal of 235228032 is 230822532.

235228032 is a `hidden beast` number, since 2 + 352 + 280 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 235227987 and 235228005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235228033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692219 + ... + 1692357.

Almost surely, 2235228032 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 235228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370351800).

235228032 is an abundant number, since it is smaller than the sum of its proper divisors (505475568).

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

235228032 is a wasteful number, since it uses less digits than its factorization.

235228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 235228032 is about 15337.1454971256. The cubic root of 235228032 is about 617.3001157151.

The spelling of 235228032 in words is "two hundred thirty-five million, two hundred twenty-eight thousand, thirty-two".