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235232140 = 2251113233353
BaseRepresentation
bin11100000010101…
…01101110001100
3121101122000211111
432001111232030
5440204412030
635201501404
75554303663
oct1601255614
9541560744
10235232140
11110867430
1266941864
1339971920
1423353dda
15159b862a
hexe055b8c

235232140 has 96 divisors (see below), whose sum is σ = 584490816. Its totient is φ = 78397440.

The previous prime is 235232119. The next prime is 235232177. The reversal of 235232140 is 41232532.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666204 + ... + 666556.

It is an arithmetic number, because the mean of its divisors is an integer number (6088446).

Almost surely, 2235232140 is an apocalyptic number.

235232140 is a gapful number since it is divisible by the number (20) 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 235232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292245408).

235232140 is an abundant number, since it is smaller than the sum of its proper divisors (349258676).

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

235232140 is a wasteful number, since it uses less digits than its factorization.

235232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 235232140 is about 15337.2794197667. The cubic root of 235232140 is about 617.3037091844.

Adding to 235232140 its reverse (41232532), we get a palindrome (276464672).

The spelling of 235232140 in words is "two hundred thirty-five million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 233 260 286 353 466 572 706 715 932 1165 1412 1430 1765 2330 2563 2860 3029 3530 3883 4589 4660 5126 6058 7060 7766 9178 10252 12116 12815 15145 15532 18356 19415 22945 25630 30290 33319 38830 45890 50479 51260 60580 66638 77660 82249 91780 100958 133276 164498 166595 201916 252395 328996 333190 411245 504790 666380 822490 904739 1009580 1069237 1644980 1809478 2138474 3618956 4276948 4523695 5346185 9047390 10692370 11761607 18094780 21384740 23523214 47046428 58808035 117616070 235232140