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22400222420 = 22531239151169
BaseRepresentation
bin10100110111001010…
…000100010011010100
32010211002222012102102
4110313022010103110
5331333424104140
614142430301232
71422045514622
oct246712042324
963732865372
1022400222420
119555383714
124411957818
13215ca408a4
141126da2512
158b1837e15
hex5372844d4

22400222420 has 48 divisors (see below), whose sum is σ = 48761395200. Its totient is φ = 8634716160.

The previous prime is 22400222407. The next prime is 22400222423. The reversal of 22400222420 is 2422200422.

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 = 22400222392 and 22400222401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400222423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72596 + ... + 223764.

It is an arithmetic number, because the mean of its divisors is an integer number (1015862400).

Almost surely, 222400222420 is an apocalyptic number.

22400222420 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 22400222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24380697600).

22400222420 is an abundant number, since it is smaller than the sum of its proper divisors (26361172780).

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

22400222420 is a wasteful number, since it uses less digits than its factorization.

22400222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151448 (or 151446 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22400222420 its reverse (2422200422), we get a palindrome (24822422842).

The spelling of 22400222420 in words is "twenty-two billion, four hundred million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 239 310 478 620 956 1195 2390 4780 7409 14818 29636 37045 74090 148180 151169 302338 604676 755845 1511690 3023380 4686239 9372478 18744956 23431195 36129391 46862390 72258782 93724780 144517564 180646955 361293910 722587820 1120011121 2240022242 4480044484 5600055605 11200111210 22400222420