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132197226720 = 253513167126859
BaseRepresentation
bin111101100011110010…
…0011001100011100000
3110122020001101221001020
41323013210121203200
54131214442223340
6140421445205440
712356653613106
oct1730744314340
9418201357036
10132197226720
1151078985089
1221754700880
13c60a174aa0
146581223c76
15368abd39d0
hex1ec79198e0

132197226720 has 192 divisors, whose sum is σ = 451142576640. Its totient is φ = 32345745408.

The previous prime is 132197226683. The next prime is 132197226761. The reversal of 132197226720 is 27622791231.

It is a super-2 number, since 2×1321972267202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978651 + ... + 1105509.

It is an arithmetic number, because the mean of its divisors is an integer number (2349700920).

Almost surely, 2132197226720 is an apocalyptic number.

132197226720 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 132197226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225571288320).

132197226720 is an abundant number, since it is smaller than the sum of its proper divisors (318945349920).

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

132197226720 is a wasteful number, since it uses less digits than its factorization.

132197226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127057 (or 127049 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 132197226720 in words is "one hundred thirty-two billion, one hundred ninety-seven million, two hundred twenty-six thousand, seven hundred twenty".