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132296220 = 223357311129
BaseRepresentation
bin1111110001010…
…10111000011100
3100012221100022000
413320222320130
5232331434340
621043322300
73164333160
oct770527034
9305840260
10132296220
1168750121
1238380390
13215409b4
14137daca0
15b933d30
hex7e2ae1c

132296220 has 192 divisors, whose sum is σ = 485990400. Its totient is φ = 29237760.

The previous prime is 132296141. The next prime is 132296267. The reversal of 132296220 is 22692231.

132296220 is a `hidden beast` number, since 1 + 32 + 2 + 9 + 622 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116616 + ... + 117744.

It is an arithmetic number, because the mean of its divisors is an integer number (2531200).

Almost surely, 2132296220 is an apocalyptic number.

132296220 is a gapful number since it is divisible by the number (10) 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 132296220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242995200).

132296220 is an abundant number, since it is smaller than the sum of its proper divisors (353694180).

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

132296220 is a wasteful number, since it uses less digits than its factorization.

132296220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132296220 is about 11502.0093896675. The cubic root of 132296220 is about 509.5449227713.

The spelling of 132296220 in words is "one hundred thirty-two million, two hundred ninety-six thousand, two hundred twenty".