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132105222 = 23379173179
BaseRepresentation
bin1111101111111…
…00010000000110
3100012120122022000
413313330100012
5232304331342
621035250130
73162606264
oct767742006
9305518260
10132105222
116862a677
12382a9946
13214a4a92
141378b434
15b8e744c
hex7dfc406

132105222 has 64 divisors (see below), whose sum is σ = 300672000. Its totient is φ = 42984864.

The previous prime is 132105221. The next prime is 132105223. The reversal of 132105222 is 222501231.

132105222 is a `hidden beast` number, since 132 + 10 + 522 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (132105221) and next prime (132105223).

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

It is a junction number, because it is equal to n+sod(n) for n = 132105195 and 132105204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737929 + ... + 738107.

It is an arithmetic number, because the mean of its divisors is an integer number (4698000).

Almost surely, 2132105222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132105222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150336000).

132105222 is an abundant number, since it is smaller than the sum of its proper divisors (168566778).

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

132105222 is a wasteful number, since it uses less digits than its factorization.

132105222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132105222 is about 11493.7035806567. The cubic root of 132105222 is about 509.2995921694.

Adding to 132105222 its reverse (222501231), we get a palindrome (354606453).

The spelling of 132105222 in words is "one hundred thirty-two million, one hundred five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 173 179 237 346 358 474 519 537 711 1038 1074 1422 1557 1611 2133 3114 3222 4266 4671 4833 9342 9666 13667 14141 27334 28282 30967 41001 42423 61934 82002 84846 92901 123003 127269 185802 246006 254538 278703 369009 381807 557406 738018 763614 836109 1672218 2446393 4892786 7339179 14678358 22017537 44035074 66052611 132105222