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216462132 = 2234668093
BaseRepresentation
bin11001110011011…
…11001100110100
3120002022102020000
430321233030310
5420403242012
633251311300
75235616635
oct1471571464
9502272200
10216462132
11101207227
12605ab530
1335acc303
1420a6988c
151400bddc
hexce6f334

216462132 has 30 divisors (see below), whose sum is σ = 565875618. Its totient is φ = 72153936.

The previous prime is 216462109. The next prime is 216462137. The reversal of 216462132 is 231264612.

216462132 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 621 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148498596 + 67963536 = 12186^2 + 8244^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 216462096 and 216462105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216462137) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 333723 + ... + 334370.

Almost surely, 2216462132 is an apocalyptic number.

It is an amenable number.

216462132 is an abundant number, since it is smaller than the sum of its proper divisors (349413486).

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

216462132 is a wasteful number, since it uses less digits than its factorization.

216462132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668109 (or 668098 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 216462132 is about 14712.6521062655. The cubic root of 216462132 is about 600.4275951982.

The spelling of 216462132 in words is "two hundred sixteen million, four hundred sixty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 668093 1336186 2004279 2672372 4008558 6012837 8017116 12025674 18038511 24051348 36077022 54115533 72154044 108231066 216462132