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22223300240 = 245769361237
BaseRepresentation
bin10100101100100111…
…001010011010010000
32010100210001121211002
4110230213022122100
5331003131101430
614113110241132
71414466635541
oct245447123220
963323047732
1022223300240
119474523439
1243826561a8
1321321a68cb
14110b6aa4c8
158a103b845
hex52c9ca690

22223300240 has 40 divisors (see below), whose sum is σ = 51736506360. Its totient is φ = 8877735936.

The previous prime is 22223300219. The next prime is 22223300251. The reversal of 22223300240 is 4200332222.

It can be written as a sum of positive squares in 4 ways, for example, as 8131710976 + 14091589264 = 90176^2 + 118708^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119099 + ... + 242138.

It is an arithmetic number, because the mean of its divisors is an integer number (1293412659).

Almost surely, 222223300240 is an apocalyptic number.

22223300240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22223300240 is an abundant number, since it is smaller than the sum of its proper divisors (29513206120).

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

22223300240 is a wasteful number, since it uses less digits than its factorization.

22223300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362019 (or 362013 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22223300240 its reverse (4200332222), we get a palindrome (26423632462).

The spelling of 22223300240 in words is "twenty-two billion, two hundred twenty-three million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 769 1538 3076 3845 6152 7690 12304 15380 30760 61520 361237 722474 1444948 1806185 2889896 3612370 5779792 7224740 14449480 28898960 277791253 555582506 1111165012 1388956265 2222330024 2777912530 4444660048 5555825060 11111650120 22223300240