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2090122980 = 2235116914583
BaseRepresentation
bin111110010010100…
…1011111011100100
312101122221020201020
41330211023323210
513240032413410
6543222331140
7102536516001
oct17445137344
95348836636
102090122980
11982902370
124a3b89ab0
1327404027a
1415b8388a8
15c3765a70
hex7c94bee4

2090122980 has 96 divisors (see below), whose sum is σ = 6395010048. Its totient is φ = 505852800.

The previous prime is 2090122961. The next prime is 2090123011. The reversal of 2090122980 is 892210902.

It is a happy number.

It is a super-2 number, since 2×20901229802 = 8737228143048160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453769 + ... + 458351.

It is an arithmetic number, because the mean of its divisors is an integer number (66614688).

Almost surely, 22090122980 is an apocalyptic number.

2090122980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090122980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197505024).

2090122980 is an abundant number, since it is smaller than the sum of its proper divisors (4304887068).

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

2090122980 is a wasteful number, since it uses less digits than its factorization.

2090122980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2090122980 is about 45717.8628109408. The cubic root of 2090122980 is about 1278.5683415311.

The spelling of 2090122980 in words is "two billion, ninety million, one hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 691 1382 2073 2764 3455 4146 4583 6910 7601 8292 9166 10365 13749 13820 15202 18332 20730 22803 22915 27498 30404 38005 41460 45606 45830 50413 54996 68745 76010 91212 91660 100826 114015 137490 151239 152020 201652 228030 252065 274980 302478 456060 504130 604956 756195 1008260 1512390 3024780 3166853 6333706 9500559 12667412 15834265 19001118 31668530 34835383 38002236 47502795 63337060 69670766 95005590 104506149 139341532 174176915 190011180 209012298 348353830 418024596 522530745 696707660 1045061490 2090122980