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132102216 = 23321834753
BaseRepresentation
bin1111101111110…
…11100001001000
3100012120111011200
413313323201020
5232304232331
621035224200
73162564441
oct767734110
9305514150
10132102216
1168628394
12382a8060
13214a35bc
141378a2c8
15b8e65e6
hex7dfb848

132102216 has 24 divisors (see below), whose sum is σ = 357777030. Its totient is φ = 44034048.

The previous prime is 132102211. The next prime is 132102227. The reversal of 132102216 is 612201231.

It can be written as a sum of positive squares in only one way, i.e., 127916100 + 4186116 = 11310^2 + 2046^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1321022162 = 34901990944221312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (132102211) 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, 917305 + ... + 917448.

Almost surely, 2132102216 is an apocalyptic number.

It is an amenable number.

132102216 is an abundant number, since it is smaller than the sum of its proper divisors (225674814).

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

132102216 is a wasteful number, since it uses less digits than its factorization.

132102216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834765 (or 1834758 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 132102216 is about 11493.5728126636. The cubic root of 132102216 is about 509.2957291725.

Adding to 132102216 its reverse (612201231), we get a palindrome (744303447).

The spelling of 132102216 in words is "one hundred thirty-two million, one hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1834753 3669506 5504259 7339012 11008518 14678024 16512777 22017036 33025554 44034072 66051108 132102216