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22003242400 = 255227504053
BaseRepresentation
bin10100011111011111…
…101101010110100000
32002210102222112012201
4110133133231112200
5330030312224100
614035205502544
71406155321516
oct243737552640
962712875181
1022003242400
119371290757
124320a11a54
1320c8718a79
1410ca3864b6
1588ba6e36a
hex51f7ed5a0

22003242400 has 36 divisors (see below), whose sum is σ = 53715417462. Its totient is φ = 8801296640.

The previous prime is 22003242397. The next prime is 22003242421. The reversal of 22003242400 is 424230022.

It can be written as a sum of positive squares in 3 ways, for example, as 12672455184 + 9330787216 = 112572^2 + 96596^2 .

It is a super-2 number, since 2×220032424002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13751227 + ... + 13752826.

Almost surely, 222003242400 is an apocalyptic number.

22003242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22003242400 is an abundant number, since it is smaller than the sum of its proper divisors (31712175062).

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

22003242400 is a wasteful number, since it uses less digits than its factorization.

22003242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27504073 (or 27504060 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 22003242400 its reverse (424230022), we get a palindrome (22427472422).

The spelling of 22003242400 in words is "twenty-two billion, three million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 27504053 55008106 110016212 137520265 220032424 275040530 440064848 550081060 687601325 880129696 1100162120 1375202650 2200324240 2750405300 4400648480 5500810600 11001621200 22003242400