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233134132 = 227112943607
BaseRepresentation
bin11011110010101…
…01100000110100
3121020200102220111
431321111200310
5434140243012
635044512404
75530415230
oct1571254064
9536612814
10233134132
1110a664140
12660ab704
13393b89ba
1422d695c0
1515701ba7
hexde55834

233134132 has 96 divisors (see below), whose sum is σ = 539320320. Its totient is φ = 85518720.

The previous prime is 233134127. The next prime is 233134169. The reversal of 233134132 is 231431332.

233134132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383773 + ... + 384379.

It is an arithmetic number, because the mean of its divisors is an integer number (5617920).

Almost surely, 2233134132 is an apocalyptic number.

233134132 is a gapful number since it is divisible by the number (22) 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 233134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269660160).

233134132 is an abundant number, since it is smaller than the sum of its proper divisors (306186188).

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

233134132 is a wasteful number, since it uses less digits than its factorization.

233134132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 233134132 is about 15268.7305300735. The cubic root of 233134132 is about 615.4630060410.

Adding to 233134132 its reverse (231431332), we get a palindrome (464565464).

It can be divided in two parts, 2331 and 34132, that added together give a palindrome (36463).

The spelling of 233134132 in words is "two hundred thirty-three million, one hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 43 44 58 77 86 116 154 172 203 301 308 319 406 473 602 607 638 812 946 1204 1214 1247 1276 1892 2233 2428 2494 3311 4249 4466 4988 6622 6677 8498 8729 8932 13244 13354 13717 16996 17458 17603 26101 26708 27434 34916 35206 46739 52202 54868 70412 93478 96019 104404 123221 182707 186956 192038 193633 246442 287111 365414 384076 387266 492884 574222 730828 756929 774532 1148444 1355431 1513858 2009777 2710862 3027716 4019554 5298503 5421724 8039108 8326219 10597006 16652438 21194012 33304876 58283533 116567066 233134132