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216065304 = 23327313673
BaseRepresentation
bin11001110000011…
…10010100011000
3120001120020212200
430320032110120
5420303042204
633235010200
75232345000
oct1470162430
9501506780
10216065304
11100a66074
1260439960
13359c07c0
14209a5000
1513e7e539
hexce0e518

216065304 has 192 divisors, whose sum is σ = 736008000. Its totient is φ = 56899584.

The previous prime is 216065287. The next prime is 216065387. The reversal of 216065304 is 403560612.

216065304 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 653 + 0 + 4 = 666.

It is a super-2 number, since 2×2160653042 = 93368431185224832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320712 + ... + 321384.

It is an arithmetic number, because the mean of its divisors is an integer number (3833375).

Almost surely, 2216065304 is an apocalyptic number.

216065304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216065304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368004000).

216065304 is an abundant number, since it is smaller than the sum of its proper divisors (519942696).

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

216065304 is a wasteful number, since it uses less digits than its factorization.

216065304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 698 counting only the distinct ones).

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

The square root of 216065304 is about 14699.1599759986. The cubic root of 216065304 is about 600.0604605740.

The spelling of 216065304 in words is "two hundred sixteen million, sixty-five thousand, three hundred four".