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132228540 = 223251574679
BaseRepresentation
bin1111110000110…
…10010110111100
3100012210220110100
413320122112330
5232322303130
621042041100
73163631643
oct770322674
9305726410
10132228540
1168704294
1238349190
1321518c52
14137c035a
15b91dc60
hex7e1a5bc

132228540 has 72 divisors (see below), whose sum is σ = 403734240. Its totient is φ = 35028864.

The previous prime is 132228527. The next prime is 132228559. The reversal of 132228540 is 45822231.

It is a congruent number.

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, 25921 + ... + 30599.

It is an arithmetic number, because the mean of its divisors is an integer number (5607420).

Almost surely, 2132228540 is an apocalyptic number.

132228540 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 132228540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201867120).

132228540 is an abundant number, since it is smaller than the sum of its proper divisors (271505700).

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

132228540 is a wasteful number, since it uses less digits than its factorization.

132228540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132228540 is about 11499.0669186678. The cubic root of 132228540 is about 509.4580170814.

The spelling of 132228540 in words is "one hundred thirty-two million, two hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4679 4710 5652 7065 9358 9420 14037 14130 18716 23395 28074 28260 42111 46790 56148 70185 84222 93580 140370 168444 210555 280740 421110 734603 842220 1469206 2203809 2938412 3673015 4407618 6611427 7346030 8815236 11019045 13222854 14692060 22038090 26445708 33057135 44076180 66114270 132228540