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132221232 = 243211136421
BaseRepresentation
bin1111110000110…
…00100100110000
3100012210112102200
413320120210300
5232322034412
621041543200
73163601433
oct770304460
9305715380
10132221232
11686a9850
1238344b00
1321515820
14137bb81a
15b91b9dc
hex7e18930

132221232 has 120 divisors (see below), whose sum is σ = 434795088. Its totient is φ = 36979200.

The previous prime is 132221207. The next prime is 132221233. The reversal of 132221232 is 232122231.

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 not an unprimeable number, because it can be changed into a prime (132221233) 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, 17382 + ... + 23802.

Almost surely, 2132221232 is an apocalyptic number.

132221232 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 132221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217397544).

132221232 is an abundant number, since it is smaller than the sum of its proper divisors (302573856).

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

132221232 is a wasteful number, since it uses less digits than its factorization.

132221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459 (or 6450 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 132221232 is about 11498.7491493640. The cubic root of 132221232 is about 509.4486313422.

Adding to 132221232 its reverse (232122231), we get a palindrome (364343463).

Subtracting 132221232 from its reverse (232122231), we obtain a palindrome (99900999).

The spelling of 132221232 in words is "one hundred thirty-two million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6421 6864 10296 12842 19263 20592 25684 38526 51368 57789 70631 77052 83473 102736 115578 141262 154104 166946 211893 231156 250419 282524 308208 333892 423786 462312 500838 565048 635679 667784 751257 847572 918203 924624 1001676 1130096 1271358 1335568 1502514 1695144 1836406 2003352 2542716 2754609 3005028 3390288 3672812 4006704 5085432 5509218 6010056 7345624 8263827 10170864 11018436 12020112 14691248 16527654 22036872 33055308 44073744 66110616 132221232