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235288032 = 2537379463
BaseRepresentation
bin11100000011000…
…11010111100000
3121101201212111120
432001203113200
5440213204112
635203012240
75554625640
oct1601432740
9541655446
10235288032
111108a5421
126696a080
13399911b5
142336a520
15159c9e8c
hexe0635e0

235288032 has 96 divisors (see below), whose sum is σ = 725018112. Its totient is φ = 65401344.

The previous prime is 235288021. The next prime is 235288033. The reversal of 235288032 is 230882532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2352880323 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 235287984 and 235288002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235288033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20133 + ... + 29595.

It is an arithmetic number, because the mean of its divisors is an integer number (7552272).

Almost surely, 2235288032 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 235288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362509056).

235288032 is an abundant number, since it is smaller than the sum of its proper divisors (489730080).

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

235288032 is a wasteful number, since it uses less digits than its factorization.

235288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 235288032 is about 15339.1014078400. The cubic root of 235288032 is about 617.3525965043.

The spelling of 235288032 in words is "two hundred thirty-five million, two hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 9463 12432 18926 24864 28389 37852 56778 66241 75704 113556 132482 151408 198723 227112 264964 302816 350131 397446 454224 529928 700262 794892 908448 1050393 1059856 1400524 1589784 2100786 2119712 2450917 2801048 3179568 4201572 4901834 5602096 6359136 7352751 8403144 9803668 11204192 14705502 16806288 19607336 29411004 33612576 39214672 58822008 78429344 117644016 235288032