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2090230400 = 2752653197
BaseRepresentation
bin111110010010110…
…0110001010000000
312101200010201001202
41330211212022000
513240044333100
6543224520332
7102540444116
oct17445461200
95350121052
102090230400
11982976045
124a40200a8
1327407a12b
1415b865ab6
15c37877d5
hex7c966280

2090230400 has 48 divisors (see below), whose sum is σ = 5163530190. Its totient is φ = 836090880.

The previous prime is 2090230369. The next prime is 2090230411. The reversal of 2090230400 is 40320902.

It can be written as a sum of positive squares in 3 ways, for example, as 1591690816 + 498539584 = 39896^2 + 22328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 323399 + ... + 329798.

Almost surely, 22090230400 is an apocalyptic number.

2090230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2090230400 is an abundant number, since it is smaller than the sum of its proper divisors (3073299790).

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

2090230400 is an equidigital number, since it uses as much as digits as its factorization.

2090230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653221 (or 653204 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2090230400 is about 45719.0376101685. The cubic root of 2090230400 is about 1278.5902447811.

The spelling of 2090230400 in words is "two billion, ninety million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 653197 1306394 2612788 3265985 5225576 6531970 10451152 13063940 16329925 20902304 26127880 32659850 41804608 52255760 65319700 83609216 104511520 130639400 209023040 261278800 418046080 522557600 1045115200 2090230400