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132232224 = 25343103311
BaseRepresentation
bin1111110000110…
…11010000100000
3100012211002111210
413320123100200
5232322412344
621042110120
73163645455
oct770332040
9305732453
10132232224
1168707033
123834b340
132151a827
14137c182c
15b91edb9
hex7e1b420

132232224 has 96 divisors (see below), whose sum is σ = 359783424. Its totient is φ = 42497280.

The previous prime is 132232211. The next prime is 132232237. The reversal of 132232224 is 422232231.

It is an interprime number because it is at equal distance from previous prime (132232211) and next prime (132232237).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1322322242 = 34970722127972352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132232224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425029 + ... + 425339.

It is an arithmetic number, because the mean of its divisors is an integer number (3747744).

Almost surely, 2132232224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179891712).

132232224 is an abundant number, since it is smaller than the sum of its proper divisors (227551200).

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

132232224 is a wasteful number, since it uses less digits than its factorization.

132232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

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

The square root of 132232224 is about 11499.2271044623. The cubic root of 132232224 is about 509.4627483492.

Adding to 132232224 its reverse (422232231), we get a palindrome (554464455).

The spelling of 132232224 in words is "one hundred thirty-two million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 103 129 172 206 258 309 311 344 412 516 618 622 688 824 933 1032 1236 1244 1376 1648 1866 2064 2472 2488 3296 3732 4128 4429 4944 4976 7464 8858 9888 9952 13287 13373 14928 17716 26574 26746 29856 32033 35432 40119 53148 53492 64066 70864 80238 96099 106296 106984 128132 141728 160476 192198 212592 213968 256264 320952 384396 425184 427936 512528 641904 768792 1025056 1283808 1377419 1537584 2754838 3075168 4132257 5509676 8264514 11019352 16529028 22038704 33058056 44077408 66116112 132232224