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2263584990 = 235411840313
BaseRepresentation
bin1000011011101011…
…1001000011011110
312211202100000212010
42012322321003132
514113434204430
61012340252050
7110044104102
oct20672710336
95752300763
102263584990
11a618099a7
125320a1026
132a0c65304
141768ad902
15d3acbcb0
hex86eb90de

2263584990 has 32 divisors (see below), whose sum is σ = 5565109536. Its totient is φ = 588899840.

The previous prime is 2263584977. The next prime is 2263584991. The reversal of 2263584990 is 994853622.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263584991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918927 + ... + 921386.

It is an arithmetic number, because the mean of its divisors is an integer number (173909673).

Almost surely, 22263584990 is an apocalyptic number.

2263584990 is an abundant number, since it is smaller than the sum of its proper divisors (3301524546).

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

2263584990 is a wasteful number, since it uses less digits than its factorization.

2263584990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840364.

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 2263584990 is about 47577.1477707523. The cubic root of 2263584990 is about 1313.0026475674.

The spelling of 2263584990 in words is "two billion, two hundred sixty-three million, five hundred eighty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1840313 3680626 5520939 9201565 11041878 18403130 27604695 55209390 75452833 150905666 226358499 377264165 452716998 754528330 1131792495 2263584990