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235311132 = 223721992011
BaseRepresentation
bin11100000011010…
…01000000011100
3121101210001012010
432001221000130
5440214424012
635203311220
75555053200
oct1601510034
9541701163
10235311132
11110910811
126697b510
133999b874
1423374b00
15159d1c3c
hexe06901c

235311132 has 72 divisors (see below), whose sum is σ = 642230400. Its totient is φ = 66860640.

The previous prime is 235311103. The next prime is 235311163. The reversal of 235311132 is 231113532.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 235311099 and 235311108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116007 + ... + 118017.

Almost surely, 2235311132 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 235311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321115200).

235311132 is an abundant number, since it is smaller than the sum of its proper divisors (406919268).

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

235311132 is a wasteful number, since it uses less digits than its factorization.

235311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2222 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 235311132 is about 15339.8543669749. The cubic root of 235311132 is about 617.3727992294.

Adding to 235311132 its reverse (231113532), we get a palindrome (466424664).

The spelling of 235311132 in words is "two hundred thirty-five million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 199 294 398 588 597 796 1194 1393 2011 2388 2786 4022 4179 5572 6033 8044 8358 9751 12066 14077 16716 19502 24132 28154 29253 39004 42231 56308 58506 84462 98539 117012 168924 197078 295617 394156 400189 591234 800378 1182468 1200567 1600756 2401134 2801323 4802268 5602646 8403969 11205292 16807938 19609261 33615876 39218522 58827783 78437044 117655566 235311132