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2090900933 = 112535712
BaseRepresentation
bin111110010100000…
…1001110111000101
312101201101202212022
41330220021313011
513240232312213
6543251132525
7102546236042
oct17450116705
95351352768
102090900933
11983293900
124a42a4145
132742533b4
1415b99c1c9
15c386b308
hex7ca09dc5

2090900933 has 18 divisors (see below), whose sum is σ = 2345734566. Its totient is φ = 1861688400.

The previous prime is 2090900909. The next prime is 2090900953. The reversal of 2090900933 is 3390090902.

It can be written as a sum of positive squares in only one way, i.e., 1933097089 + 157803844 = 43967^2 + 12562^2 .

It is not a de Polignac number, because 2090900933 - 26 = 2090900869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2090900893 and 2090900902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090900953) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3661538 + ... + 3662108.

It is an arithmetic number, because the mean of its divisors is an integer number (130318587).

Almost surely, 22090900933 is an apocalyptic number.

It is an amenable number.

2090900933 is a deficient number, since it is larger than the sum of its proper divisors (254833633).

2090900933 is an frugal number, since it uses more digits than its factorization.

2090900933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 35.

The square root of 2090900933 is about 45726.3702145709. The cubic root of 2090900933 is about 1278.7269514480.

The spelling of 2090900933 in words is "two billion, ninety million, nine hundred thousand, nine hundred thirty-three".

Divisors: 1 11 53 121 571 583 6281 6413 30263 69091 326041 332893 3586451 3661823 17280173 39450961 190081903 2090900933