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132002220 = 22357467673
BaseRepresentation
bin1111101111000…
…11000110101100
3100012101102000010
413313203012230
5232243032340
621033133220
73162000060
oct767430654
9305342003
10132002220
116856a249
123825a210
1321469c2c
1413761aa0
15b8c6b80
hex7de31ac

132002220 has 96 divisors (see below), whose sum is σ = 423940608. Its totient is φ = 30062592.

The previous prime is 132002209. The next prime is 132002243. The reversal of 132002220 is 22200231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132002196 and 132002205.

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, 195804 + ... + 196476.

It is an arithmetic number, because the mean of its divisors is an integer number (4416048).

Almost surely, 2132002220 is an apocalyptic number.

132002220 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 132002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211970304).

132002220 is an abundant number, since it is smaller than the sum of its proper divisors (291938388).

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

132002220 is a wasteful number, since it uses less digits than its factorization.

132002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 132002220 is about 11489.2219057689. The cubic root of 132002220 is about 509.1671913561.

Adding to 132002220 its reverse (22200231), we get a palindrome (154202451).

The spelling of 132002220 in words is "one hundred thirty-two million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 467 673 934 1346 1401 1868 2019 2335 2692 2802 3269 3365 4038 4670 4711 5604 6538 6730 7005 8076 9340 9422 9807 10095 13076 13460 14010 14133 16345 18844 19614 20190 23555 28020 28266 32690 39228 40380 47110 49035 56532 65380 70665 94220 98070 141330 196140 282660 314291 628582 942873 1257164 1571455 1885746 2200037 3142910 3771492 4400074 4714365 6285820 6600111 8800148 9428730 11000185 13200222 18857460 22000370 26400444 33000555 44000740 66001110 132002220