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22422404020 = 2251579777309
BaseRepresentation
bin10100111000011110…
…101011101110110100
32010212122201010212011
4110320132223232310
5331410113412040
614144541534004
71422435201202
oct247036535664
963778633764
1022422404020
119566954015
124419274304
132164508cb3
141129cd8072
158b376a3ea
hex5387abbb4

22422404020 has 48 divisors (see below), whose sum is σ = 47441958480. Its totient is φ = 8901494784.

The previous prime is 22422403951. The next prime is 22422404083. The reversal of 22422404020 is 2040422422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 74545956 + 22347858064 = 8634^2 + 149492^2 .

It is a super-2 number, since 2×224224040202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22422403982 and 22422404000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3064126 + ... + 3071434.

It is an arithmetic number, because the mean of its divisors is an integer number (988374135).

Almost surely, 222422404020 is an apocalyptic number.

22422404020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22422404020 is an abundant number, since it is smaller than the sum of its proper divisors (25019554460).

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

22422404020 is a wasteful number, since it uses less digits than its factorization.

22422404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22422404020 its reverse (2040422422), we get a palindrome (24462826442).

The spelling of 22422404020 in words is "twenty-two billion, four hundred twenty-two million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 977 1570 1954 3140 3908 4885 7309 9770 14618 19540 29236 36545 73090 146180 153389 306778 613556 766945 1147513 1533890 2295026 3067780 4590052 5737565 7140893 11475130 14281786 22950260 28563572 35704465 71408930 142817860 1121120201 2242240402 4484480804 5605601005 11211202010 22422404020