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133211232 = 25327116007
BaseRepresentation
bin1111111000010…
…10010001100000
3100021122211110100
413330022101200
5233100224412
621115102400
73205163640
oct774122140
9307584410
10133211232
1169215630
1238741a00
13217a131b
1413998520
15ba64edc
hex7f0a460

133211232 has 144 divisors (see below), whose sum is σ = 472372992. Its totient is φ = 34594560.

The previous prime is 133211219. The next prime is 133211233. The reversal of 133211232 is 232112331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133211233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19173 + ... + 25179.

It is an arithmetic number, because the mean of its divisors is an integer number (3280368).

Almost surely, 2133211232 is an apocalyptic number.

133211232 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 133211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236186496).

133211232 is an abundant number, since it is smaller than the sum of its proper divisors (339161760).

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

133211232 is a wasteful number, since it uses less digits than its factorization.

133211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041 (or 6030 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 133211232 is about 11541.7170299744. The cubic root of 133211232 is about 510.7169616295.

Adding to 133211232 its reverse (232112331), we get a palindrome (365323563).

It can be divided in two parts, 1 and 33211232, that added together give a palindrome (33211233).

The spelling of 133211232 in words is "one hundred thirty-three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 6007 7392 11088 12014 18021 22176 24028 36042 42049 48056 54063 66077 72084 84098 96112 108126 126147 132154 144168 168196 192224 198231 216252 252294 264308 288336 336392 378441 396462 432504 462539 504588 528616 576672 594693 672784 756882 792924 865008 925078 1009176 1057232 1189386 1345568 1387617 1513764 1585848 1730016 1850156 2018352 2114464 2378772 2775234 3027528 3171696 3700312 4036704 4162851 4757544 5550468 6055056 6343392 7400624 8325702 9515088 11100936 12110112 14801248 16651404 19030176 22201872 33302808 44403744 66605616 133211232