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132132222 = 235614457
BaseRepresentation
bin1111110000000…
…10110101111110
3100012122000100000
413320002311332
5232311212342
621040015130
73163051065
oct770026576
9305560300
10132132222
1168648992
12383014a6
13214b4161
14137971dc
15b90044c
hex7e02d7e

132132222 has 48 divisors (see below), whose sum is σ = 301824432. Its totient is φ = 43312320.

The previous prime is 132132151. The next prime is 132132223. The reversal of 132132222 is 222231231.

132132222 is a `hidden beast` number, since 1 + 321 + 322 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132132195 and 132132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27418 + ... + 31874.

It is an arithmetic number, because the mean of its divisors is an integer number (6288009).

Almost surely, 2132132222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150912216).

132132222 is an abundant number, since it is smaller than the sum of its proper divisors (169692210).

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

132132222 is an equidigital number, since it uses as much as digits as its factorization.

132132222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4523 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 132132222 is about 11494.8780767784. The cubic root of 132132222 is about 509.3342871195.

Adding to 132132222 its reverse (222231231), we get a palindrome (354363453).

Subtracting 132132222 from its reverse (222231231), we obtain a palindrome (90099009).

The spelling of 132132222 in words is "one hundred thirty-two million, one hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 366 486 549 1098 1647 3294 4457 4941 8914 9882 13371 14823 26742 29646 40113 80226 120339 240678 271877 361017 543754 722034 815631 1083051 1631262 2166102 2446893 4893786 7340679 14681358 22022037 44044074 66066111 132132222