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2255454600 = 23352717311019
BaseRepresentation
bin1000011001101111…
…1000000110001000
312211012000222001120
42012123320012020
514104344021400
61011450115240
7106615022250
oct20633700610
95735028046
102255454600
11a58166473
1252b41bb20
1329c379729
14175794960
15d3022ca0
hex866f8188

2255454600 has 384 divisors, whose sum is σ = 8742297600. Its totient is φ = 469094400.

The previous prime is 2255454563. The next prime is 2255454601. The reversal of 2255454600 is 64545522.

It is a super-2 number, since 2×22554546002 = 10174150905322320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2255454601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2212891 + ... + 2213909.

It is an arithmetic number, because the mean of its divisors is an integer number (22766400).

Almost surely, 22255454600 is an apocalyptic number.

2255454600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255454600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371148800).

2255454600 is an abundant number, since it is smaller than the sum of its proper divisors (6486843000).

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

2255454600 is a wasteful number, since it uses less digits than its factorization.

2255454600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 2255454600 is about 47491.6266303861. The cubic root of 2255454600 is about 1311.4287385736.

The spelling of 2255454600 in words is "two billion, two hundred fifty-five million, four hundred fifty-four thousand, six hundred".