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2253145640 = 23556328641
BaseRepresentation
bin1000011001001100…
…0100011000101000
312211000200122202112
42012103010120220
514103301130030
61011324421452
7106556264504
oct20623043050
95730618675
102253145640
11a56929739
1252a6a7888
1329ba4b795
14175353304
15d2c18a95
hex864c4628

2253145640 has 16 divisors (see below), whose sum is σ = 5069577780. Its totient is φ = 901258240.

The previous prime is 2253145597. The next prime is 2253145651. The reversal of 2253145640 is 465413522.

It can be written as a sum of positive squares in 2 ways, for example, as 2249984356 + 3161284 = 47434^2 + 1778^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2253145597 and 2253145606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28164281 + ... + 28164360.

Almost surely, 22253145640 is an apocalyptic number.

2253145640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253145640 is an abundant number, since it is smaller than the sum of its proper divisors (2816432140).

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

2253145640 is a wasteful number, since it uses less digits than its factorization.

2253145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56328652 (or 56328648 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2253145640 is about 47467.3112783945. The cubic root of 2253145640 is about 1310.9810726680.

The spelling of 2253145640 in words is "two billion, two hundred fifty-three million, one hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 56328641 112657282 225314564 281643205 450629128 563286410 1126572820 2253145640