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2164950090 = 2325205311717
BaseRepresentation
bin1000000100001010…
…1000010001001010
312120212201212012200
42001002220101022
513413211400330
6554454221030
7104435525562
oct20102502112
95525655180
102164950090
11a11070056
12505054776
132866abc74
14167755da2
15ca0e6a60
hex810a844a

2164950090 has 48 divisors (see below), whose sum is σ = 5632092648. Its totient is φ = 576989568.

The previous prime is 2164950001. The next prime is 2164950121. The reversal of 2164950090 is 900594612.

2164950090 is a `hidden beast` number, since 2 + 1 + 64 + 9 + 500 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1017163449 + 1147786641 = 31893^2 + 33879^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178912 + ... + 190628.

Almost surely, 22164950090 is an apocalyptic number.

2164950090 is an abundant number, since it is smaller than the sum of its proper divisors (3467142558).

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

2164950090 is a wasteful number, since it uses less digits than its factorization.

2164950090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13783 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2164950090 is about 46529.0241677171. The cubic root of 2164950090 is about 1293.6475278357.

The spelling of 2164950090 in words is "two billion, one hundred sixty-four million, nine hundred fifty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2053 4106 6159 10265 11717 12318 18477 20530 23434 30795 35151 36954 58585 61590 70302 92385 105453 117170 175755 184770 210906 351510 527265 1054530 24055001 48110002 72165003 120275005 144330006 216495009 240550010 360825015 432990018 721650030 1082475045 2164950090