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217128890196 = 22332014399809
BaseRepresentation
bin1100101000110111100…
…0111110111101010100
3202202110002022110112000
43022031320332331110
512024134443441241
6243425253355300
721454441054251
oct3121570767524
9682402273460
10217128890196
11840a16639a9
12360b8038b30
1317623c2cb6a
14a71ad52428
1559ac10aeb6
hex328de3ef54

217128890196 has 48 divisors (see below), whose sum is σ = 562960339200. Its totient is φ = 72371978496.

The previous prime is 217128890191. The next prime is 217128890201. The reversal of 217128890196 is 691098821712.

It is a happy number.

217128890196 is a `hidden beast` number, since 2 + 171 + 288 + 9 + 0 + 196 = 666.

It is an interprime number because it is at equal distance from previous prime (217128890191) and next prime (217128890201).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217128890191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125540 + ... + 2225348.

It is an arithmetic number, because the mean of its divisors is an integer number (11728340400).

Almost surely, 2217128890196 is an apocalyptic number.

It is an amenable number.

217128890196 is an abundant number, since it is smaller than the sum of its proper divisors (345831449004).

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

217128890196 is a wasteful number, since it uses less digits than its factorization.

217128890196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119965 (or 119957 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 217128890196 in words is "two hundred seventeen billion, one hundred twenty-eight million, eight hundred ninety thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 20143 40286 60429 80572 99809 120858 181287 199618 241716 299427 362574 399236 543861 598854 725148 898281 1087722 1197708 1796562 2175444 2694843 3593124 5389686 10779372 2010452687 4020905374 6031358061 8041810748 12062716122 18094074183 24125432244 36188148366 54282222549 72376296732 108564445098 217128890196