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216343616 = 2610133469
BaseRepresentation
bin11001110010100…
…10010001000000
3120002002101122112
430321102101000
5420340443431
633244554452
75234614256
oct1471222100
9502071575
10216343616
11101136185
1260552a28
1335a8a398
1420a385d6
1513ed6c2b
hexce52440

216343616 has 28 divisors (see below), whose sum is σ = 433570380. Its totient is φ = 107097600.

The previous prime is 216343613. The next prime is 216343639. The reversal of 216343616 is 616343612.

216343616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150798400 + 65545216 = 12280^2 + 8096^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (216343613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10271 + ... + 23198.

Almost surely, 2216343616 is an apocalyptic number.

It is an amenable number.

216343616 is an abundant number, since it is smaller than the sum of its proper divisors (217226764).

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

216343616 is a wasteful number, since it uses less digits than its factorization.

216343616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33582 (or 33572 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 216343616 is about 14708.6238649304. The cubic root of 216343616 is about 600.3179943991.

The spelling of 216343616 in words is "two hundred sixteen million, three hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464 33469 66938 133876 267752 535504 1071008 2142016 3380369 6760738 13521476 27042952 54085904 108171808 216343616