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2255110944 = 25333170969
BaseRepresentation
bin1000011001101010…
…0100001100100000
312211011101111122120
42012122210030200
514104302022234
61011434504240
7106612061322
oct20632441440
95734344576
102255110944
11a57a51259
1252b295080
1329c289198
14175705612
15d2ea6049
hex866a4320

2255110944 has 48 divisors (see below), whose sum is σ = 5937634080. Its totient is φ = 749422080.

The previous prime is 2255110873. The next prime is 2255110981. The reversal of 2255110944 is 4490115522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22551109442 = 10171050739497142272, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3709 + ... + 67260.

It is an arithmetic number, because the mean of its divisors is an integer number (123700710).

Almost surely, 22255110944 is an apocalyptic number.

2255110944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2255110944 is an abundant number, since it is smaller than the sum of its proper divisors (3682523136).

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

2255110944 is a wasteful number, since it uses less digits than its factorization.

2255110944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71313 (or 71305 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2255110944 is about 47488.0084231798. The cubic root of 2255110944 is about 1311.3621292012.

The spelling of 2255110944 in words is "two billion, two hundred fifty-five million, one hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 993 1324 1986 2648 3972 5296 7944 10592 15888 31776 70969 141938 212907 283876 425814 567752 851628 1135504 1703256 2271008 3406512 6813024 23490739 46981478 70472217 93962956 140944434 187925912 281888868 375851824 563777736 751703648 1127555472 2255110944