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2253999808 = 26176073413
BaseRepresentation
bin1000011001011001…
…0100111011000000
312211002022001110101
42012112110323000
514104010443213
61011355012144
7106566453004
oct20626247300
95732261411
102253999808
11a57362465
1252aa3a054
1329bc8a4c8
141754d6704
15d2d36bdd
hex86594ec0

2253999808 has 56 divisors (see below), whose sum is σ = 4745077632. Its totient is φ = 1058648064.

The previous prime is 2253999763. The next prime is 2253999817. The reversal of 2253999808 is 8089993522.

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 7 ways as a sum of consecutive naturals, for example, 658710 + ... + 662122.

Almost surely, 22253999808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253999808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372538816).

2253999808 is an abundant number, since it is smaller than the sum of its proper divisors (2491077824).

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

2253999808 is a wasteful number, since it uses less digits than its factorization.

2253999808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The square root of 2253999808 is about 47476.3078598157. The cubic root of 2253999808 is about 1311.1467161408.

The spelling of 2253999808 in words is "two billion, two hundred fifty-three million, nine hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 607 1088 1214 2428 3413 4856 6826 9712 10319 13652 19424 20638 27304 38848 41276 54608 58021 82552 109216 116042 165104 218432 232084 330208 464168 660416 928336 1856672 2071691 3713344 4143382 8286764 16573528 33147056 35218747 66294112 70437494 132588224 140874988 281749976 563499952 1126999904 2253999808