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2192080384 = 2913615399
BaseRepresentation
bin1000001010101000…
…0111111000000000
312122202210012222101
42002222013320000
513442133033014
61001303520144
7105215242624
oct20252077000
95582705871
102192080384
11a2541048a
12512159054
1328c1ba9b0
1416b1b9184
15cc6a5474
hex82a87e00

2192080384 has 80 divisors (see below), whose sum is σ = 4795005600. Its totient is φ = 994959360.

The previous prime is 2192080349. The next prime is 2192080403. The reversal of 2192080384 is 4830802912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403317 + ... + 408715.

It is an arithmetic number, because the mean of its divisors is an integer number (59937570).

Almost surely, 22192080384 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 2192080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397502800).

2192080384 is an abundant number, since it is smaller than the sum of its proper divisors (2602925216).

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

2192080384 is an equidigital number, since it uses as much as digits as its factorization.

2192080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2192080384 is about 46819.6580935829. The cubic root of 2192080384 is about 1299.0289363617.

The spelling of 2192080384 in words is "two billion, one hundred ninety-two million, eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 256 416 488 512 793 832 976 1586 1664 1952 3172 3328 3904 5399 6344 6656 7808 10798 12688 15616 21596 25376 31232 43192 50752 70187 86384 101504 140374 172768 203008 280748 329339 345536 406016 561496 658678 691072 1122992 1317356 1382144 2245984 2634712 2764288 4281407 4491968 5269424 8562814 8983936 10538848 17125628 17967872 21077696 34251256 35935744 42155392 68502512 84310784 137005024 168621568 274010048 548020096 1096040192 2192080384