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2173922016 = 253715312113
BaseRepresentation
bin1000000110010011…
…0110101011100000
312121111121200101020
42001210312223200
513423011001031
6555414405440
7104605014030
oct20144665340
95544550336
102173922016
11a16138872
12508060880
132885008b6
14168a0d8c0
15cacba096
hex81936ae0

2173922016 has 96 divisors (see below), whose sum is σ = 6529114368. Its totient is φ = 620421120.

The previous prime is 2173922011. The next prime is 2173922021. The reversal of 2173922016 is 6102293712.

It is an interprime number because it is at equal distance from previous prime (2173922011) and next prime (2173922021).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2173922011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027776 + ... + 1029888.

It is an arithmetic number, because the mean of its divisors is an integer number (68011608).

Almost surely, 22173922016 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 2173922016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264557184).

2173922016 is an abundant number, since it is smaller than the sum of its proper divisors (4355192352).

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

2173922016 is a wasteful number, since it uses less digits than its factorization.

2173922016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2173922016 is about 46625.3366314925. The cubic root of 2173922016 is about 1295.4320976247.

The spelling of 2173922016 in words is "two billion, one hundred seventy-three million, nine hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1531 2113 3062 4226 4593 6124 6339 8452 9186 10717 12248 12678 14791 16904 18372 21434 24496 25356 29582 32151 33808 36744 42868 44373 48992 50712 59164 64302 67616 73488 85736 88746 101424 118328 128604 146976 171472 177492 202848 236656 257208 342944 354984 473312 514416 709968 1028832 1419936 3235003 6470006 9705009 12940012 19410018 22645021 25880024 38820036 45290042 51760048 67935063 77640072 90580084 103520096 135870126 155280144 181160168 271740252 310560288 362320336 543480504 724640672 1086961008 2173922016