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221640314053050 = 23252492534031229
BaseRepresentation
bin110010011001010010101000…
…001011111110000110111010
31002001202121101120101010111100
4302121102220023332012322
5213022323330344144200
62103220053222312230
764453661412624024
oct6231225013760672
91061677346333440
10221640314053050
116469214714a592
1220a37464888676
1396897906295b9
143ca363c72b014
151a9558e878d00
hexc994a82fe1ba

221640314053050 has 36 divisors (see below), whose sum is σ = 595473643757070. Its totient is φ = 59104083747360.

The previous prime is 221640314052977. The next prime is 221640314053139. The reversal of 221640314053050 is 50350413046122.

221640314053050 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 4 + 0 + 31 + 40 + 530 + 50 = 666.

221640314053050 is digitally balanced in base 2, 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 3 ways, for example, as 196878474132921 + 24761839920129 = 14031339^2 + 4976127^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221640314052996 and 221640314053014.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 246267015165 + ... + 246267016064.

Almost surely, 2221640314053050 is an apocalyptic number.

221640314053050 is an abundant number, since it is smaller than the sum of its proper divisors (373833329704020).

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

221640314053050 is a wasteful number, since it uses less digits than its factorization.

221640314053050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492534031247 (or 492534031239 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 221640314053050 its reverse (50350413046122), we get a palindrome (271990727099172).

The spelling of 221640314053050 in words is "two hundred twenty-one trillion, six hundred forty billion, three hundred fourteen million, fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 492534031229 985068062458 1477602093687 2462670156145 2955204187374 4432806281061 4925340312290 7388010468435 8865612562122 12313350780725 14776020936870 22164031405305 24626701561450 36940052342175 44328062810610 73880104684350 110820157026525 221640314053050