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132222312 = 23323749633
BaseRepresentation
bin1111110000110…
…00110101101000
3100012210120220200
413320120311220
5232322103222
621041552200
73163604535
oct770306550
9305716820
10132222312
11686aa642
1238345660
1321516171
14137bbd8c
15b91beac
hex7e18d68

132222312 has 48 divisors (see below), whose sum is σ = 367787940. Its totient is φ = 42882048.

The previous prime is 132222301. The next prime is 132222313. The reversal of 132222312 is 213222231.

132222312 is a `hidden beast` number, since 132 + 222 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131194116 + 1028196 = 11454^2 + 1014^2 .

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 not an unprimeable number, because it can be changed into a prime (132222313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22153 + ... + 27480.

Almost surely, 2132222312 is an apocalyptic number.

132222312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132222312 is an abundant number, since it is smaller than the sum of its proper divisors (235565628).

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

132222312 is a wasteful number, since it uses less digits than its factorization.

132222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49682 (or 49675 counting only the distinct ones).

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

The square root of 132222312 is about 11498.7961108979. The cubic root of 132222312 is about 509.4500184190.

Adding to 132222312 its reverse (213222231), we get a palindrome (345444543).

It can be divided in two parts, 13222231 and 2, that multiplied together give a palindrome (26444462).

The spelling of 132222312 in words is "one hundred thirty-two million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 49633 99266 148899 198532 297798 397064 446697 595596 893394 1191192 1786788 1836421 3573576 3672842 5509263 7345684 11018526 14691368 16527789 22037052 33055578 44074104 66111156 132222312