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404220402216 = 23341303478739
BaseRepresentation
bin1011110000111010110…
…10011101101000101000
31102122100211000000110000
411320131122131220220
523110320410332331
6505410222023000
741126646504441
oct5703532355050
91378324000400
10404220402216
11146479974014
1266410717a60
132c16bb0b567
14157c88ca2c8
15a7ac1a80e6
hex5e1d69da28

404220402216 has 80 divisors (see below), whose sum is σ = 1133062682400. Its totient is φ = 134636445216.

The previous prime is 404220402191. The next prime is 404220402221. The reversal of 404220402216 is 612204022404.

404220402216 is a `hidden beast` number, since 4 + 0 + 42 + 2 + 0 + 402 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 404220402216.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 604975 + ... + 1083713.

It is an arithmetic number, because the mean of its divisors is an integer number (14163283530).

Almost surely, 2404220402216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404220402216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566531341200).

404220402216 is an abundant number, since it is smaller than the sum of its proper divisors (728842280184).

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

404220402216 is a wasteful number, since it uses less digits than its factorization.

404220402216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480060 (or 480047 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 404220402216 in words is "four hundred four billion, two hundred twenty million, four hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1303 2606 3909 5212 7818 10424 11727 15636 23454 31272 35181 46908 70362 93816 105543 140724 211086 281448 422172 478739 844344 957478 1436217 1914956 2872434 3829912 4308651 5744868 8617302 11489736 12925953 17234604 25851906 34469208 38777859 51703812 77555718 103407624 155111436 310222872 623796917 1247593834 1871390751 2495187668 3742781502 4990375336 5614172253 7485563004 11228344506 14971126008 16842516759 22456689012 33685033518 44913378024 50527550277 67370067036 101055100554 134740134072 202110201108 404220402216