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22003144400 = 2452229240209
BaseRepresentation
bin10100011111011111…
…010101011011010000
32002210102210112210002
4110133133111123100
5330030301110100
614035203425132
71406154433016
oct243737253320
962712715702
1022003144400
119371224066
1243209851a8
1320c86b3293
1410ca35c8b6
1588ba502d5
hex51f7d56d0

22003144400 has 60 divisors (see below), whose sum is σ = 53093616300. Its totient is φ = 8762787840.

The previous prime is 22003144369. The next prime is 22003144403. The reversal of 22003144400 is 444130022.

It can be written as a sum of positive squares in 6 ways, for example, as 1407450256 + 20595694144 = 37516^2 + 143512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22003144403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28505 + ... + 211704.

It is an arithmetic number, because the mean of its divisors is an integer number (884893605).

Almost surely, 222003144400 is an apocalyptic number.

22003144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22003144400 is an abundant number, since it is smaller than the sum of its proper divisors (31090471900).

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

22003144400 is a wasteful number, since it uses less digits than its factorization.

22003144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240456 (or 240445 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22003144400 its reverse (444130022), we get a palindrome (22447274422).

The spelling of 22003144400 in words is "twenty-two billion, three million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 229 400 458 916 1145 1832 2290 3664 4580 5725 9160 11450 18320 22900 45800 91600 240209 480418 960836 1201045 1921672 2402090 3843344 4804180 6005225 9608360 12010450 19216720 24020900 48041800 55007861 96083600 110015722 220031444 275039305 440062888 550078610 880125776 1100157220 1375196525 2200314440 2750393050 4400628880 5500786100 11001572200 22003144400