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22400233220 = 2252334806917
BaseRepresentation
bin10100110111001010…
…000110111100000100
32010211002222202020102
4110313022012330010
5331333424430340
614142430423232
71422045561251
oct246712067404
963732882212
1022400233220
119555390842
124411961b18
13215ca45791
141126da6428
158b183b215
hex537286f04

22400233220 has 24 divisors (see below), whose sum is σ = 47242390104. Its totient is φ = 8921636096.

The previous prime is 22400233199. The next prime is 22400233231. The reversal of 22400233220 is 2233200422.

It can be written as a sum of positive squares in 4 ways, for example, as 2622873796 + 19777359424 = 51214^2 + 140632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22400233192 and 22400233201.

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, 2398799 + ... + 2408118.

It is an arithmetic number, because the mean of its divisors is an integer number (1968432921).

Almost surely, 222400233220 is an apocalyptic number.

22400233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22400233220 is an abundant number, since it is smaller than the sum of its proper divisors (24842156884).

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

22400233220 is a wasteful number, since it uses less digits than its factorization.

22400233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807159 (or 4807157 counting only the distinct ones).

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

Adding to 22400233220 its reverse (2233200422), we get a palindrome (24633433642).

The spelling of 22400233220 in words is "twenty-two billion, four hundred million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 4806917 9613834 19227668 24034585 48069170 96138340 1120011661 2240023322 4480046644 5600058305 11200116610 22400233220