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132224232 = 23371767691
BaseRepresentation
bin1111110000110…
…01010011101000
3100012210200112210
413320121103220
5232322133412
621042005120
73163613250
oct770312350
9305720483
10132224232
1168701028
12383467a0
1321516cba
14137bc960
15b91c83c
hex7e194e8

132224232 has 128 divisors (see below), whose sum is σ = 406563840. Its totient is φ = 34974720.

The previous prime is 132224231. The next prime is 132224237. The reversal of 132224232 is 232422231.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132224199 and 132224208.

It is not an unprimeable number, because it can be changed into a prime (132224231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191007 + ... + 191697.

It is an arithmetic number, because the mean of its divisors is an integer number (3176280).

Almost surely, 2132224232 is an apocalyptic number.

132224232 is a gapful number since it is divisible by the number (12) 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 132224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203281920).

132224232 is an abundant number, since it is smaller than the sum of its proper divisors (274339608).

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

132224232 is a wasteful number, since it uses less digits than its factorization.

132224232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 132224232 is about 11498.8795975956. The cubic root of 132224232 is about 509.4524843147.

Adding to 132224232 its reverse (232422231), we get a palindrome (364646463).

The spelling of 132224232 in words is "one hundred thirty-two million, two hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 67 68 84 102 119 134 136 168 201 204 238 268 357 402 408 469 476 536 691 714 804 938 952 1139 1382 1407 1428 1608 1876 2073 2278 2764 2814 2856 3417 3752 4146 4556 4837 5528 5628 6834 7973 8292 9112 9674 11256 11747 13668 14511 15946 16584 19348 23494 23919 27336 29022 31892 35241 38696 46297 46988 47838 58044 63784 70482 82229 92594 93976 95676 116088 138891 140964 164458 185188 191352 246687 277782 281928 324079 328916 370376 493374 555564 648158 657832 787049 972237 986748 1111128 1296316 1574098 1944474 1973496 2361147 2592632 3148196 3888948 4722294 5509343 6296392 7777896 9444588 11018686 16528029 18889176 22037372 33056058 44074744 66112116 132224232