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132216930 = 23256172381
BaseRepresentation
bin1111110000101…
…11100001100010
3100012210022112100
413320113201202
5232321420210
621041511230
73163553046
oct770274142
9305708470
10132216930
11686a659a
1238342516
1321513891
14137ba026
15b91a5c0
hex7e17862

132216930 has 48 divisors (see below), whose sum is σ = 344465784. Its totient is φ = 35185920.

The previous prime is 132216911. The next prime is 132216941. The reversal of 132216930 is 39612231.

It can be written as a sum of positive squares in 4 ways, for example, as 22155849 + 110061081 = 4707^2 + 10491^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132216894 and 132216903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54340 + ... + 56720.

Almost surely, 2132216930 is an apocalyptic number.

132216930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132216930 is an abundant number, since it is smaller than the sum of its proper divisors (212248854).

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

132216930 is a wasteful number, since it uses less digits than its factorization.

132216930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132216930 is about 11498.5620840173. The cubic root of 132216930 is about 509.4431060778.

The spelling of 132216930 in words is "one hundred thirty-two million, two hundred sixteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 617 1234 1851 2381 3085 3702 4762 5553 6170 7143 9255 11106 11905 14286 18510 21429 23810 27765 35715 42858 55530 71430 107145 214290 1469077 2938154 4407231 7345385 8814462 13221693 14690770 22036155 26443386 44072310 66108465 132216930