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132213456 = 2432918149
BaseRepresentation
bin1111110000101…
…10101011010000
3100012210010202200
413320112223100
5232321312311
621041443200
73163536654
oct770265320
9305703680
10132213456
11686a3a21
1238340500
132151211b
14137b8a64
15b919556
hex7e16ad0

132213456 has 30 divisors (see below), whose sum is σ = 370014450. Its totient is φ = 44071104.

The previous prime is 132213451. The next prime is 132213461. The reversal of 132213456 is 654312231.

It is an interprime number because it is at equal distance from previous prime (132213451) and next prime (132213461).

It can be written as a sum of positive squares in only one way, i.e., 128051856 + 4161600 = 11316^2 + 2040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458931 + ... + 459218.

It is an arithmetic number, because the mean of its divisors is an integer number (12333815).

Almost surely, 2132213456 is an apocalyptic number.

132213456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132213456 is an abundant number, since it is smaller than the sum of its proper divisors (237800994).

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

132213456 is a wasteful number, since it uses less digits than its factorization.

132213456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918163 (or 918154 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 132213456 is about 11498.4110206585. The cubic root of 132213456 is about 509.4386441660.

Adding to 132213456 its reverse (654312231), we get a palindrome (786525687).

The spelling of 132213456 in words is "one hundred thirty-two million, two hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 918149 1836298 2754447 3672596 5508894 7345192 8263341 11017788 14690384 16526682 22035576 33053364 44071152 66106728 132213456