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132218856 = 233272113407
BaseRepresentation
bin1111110000101…
…11111111101000
3100012210102011200
413320113333220
5232322000411
621041524200
73163561500
oct770277750
9305712150
10132218856
11686a7a90
1238343660
1321514713
14137baa00
15b91ae56
hex7e17fe8

132218856 has 144 divisors (see below), whose sum is σ = 454559040. Its totient is φ = 34332480.

The previous prime is 132218831. The next prime is 132218869. The reversal of 132218856 is 658812231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132218856.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37105 + ... + 40511.

It is an arithmetic number, because the mean of its divisors is an integer number (3156660).

Almost surely, 2132218856 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 132218856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227279520).

132218856 is an abundant number, since it is smaller than the sum of its proper divisors (322340184).

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

132218856 is a wasteful number, since it uses less digits than its factorization.

132218856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3430 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 132218856 is about 11498.6458333145. The cubic root of 132218856 is about 509.4455797466.

The spelling of 132218856 in words is "one hundred thirty-two million, two hundred eighteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3407 3528 4312 4851 5544 6468 6814 9702 10221 12936 13628 19404 20442 23849 27256 30663 37477 38808 40884 47698 61326 71547 74954 81768 95396 112431 122652 143094 149908 166943 190792 214641 224862 245304 262339 286188 299816 333886 337293 429282 449724 500829 524678 572376 667772 674586 787017 858564 899448 1001658 1049356 1335544 1349172 1502487 1574034 1717128 1836373 2003316 2098712 2361051 2698344 3004974 3148068 3672746 4006632 4722102 5509119 6009948 6296136 7345492 9444204 11018238 12019896 14690984 16527357 18888408 22036476 33054714 44072952 66109428 132218856