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217168104 = 23322340577
BaseRepresentation
bin11001111000110…
…11100011101000
3120010122021122010
430330123203220
5421043334404
633314355520
75244620106
oct1474334350
9503567563
10217168104
1110164967a
126088bba0
1335cb874a
1420bb0c76
15140eb189
hexcf1b8e8

217168104 has 32 divisors (see below), whose sum is σ = 545368320. Its totient is φ = 72062976.

The previous prime is 217168097. The next prime is 217168121. The reversal of 217168104 is 401861712.

217168104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14937 + ... + 25640.

It is an arithmetic number, because the mean of its divisors is an integer number (17042760).

Almost surely, 2217168104 is an apocalyptic number.

217168104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

217168104 is an abundant number, since it is smaller than the sum of its proper divisors (328200216).

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

217168104 is a wasteful number, since it uses less digits than its factorization.

217168104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40809 (or 40805 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 217168104 is about 14736.6245795976. The cubic root of 217168104 is about 601.0796339302.

The spelling of 217168104 in words is "two hundred seventeen million, one hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 223 446 669 892 1338 1784 2676 5352 40577 81154 121731 162308 243462 324616 486924 973848 9048671 18097342 27146013 36194684 54292026 72389368 108584052 217168104