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22153422420 = 22325731685953
BaseRepresentation
bin10100101000011100…
…100110011001010100
32010011220120110110200
4110220130212121110
5330332234004140
614102132420500
71412660661243
oct245034463124
963156513420
1022153422420
119439036178
124363177730
13212087b89c
1411022ba95a
15899d37030
hex528726654

22153422420 has 72 divisors (see below), whose sum is σ = 68119285416. Its totient is φ = 5826650112.

The previous prime is 22153422407. The next prime is 22153422427. The reversal of 22153422420 is 2422435122.

22153422420 is a `hidden beast` number, since 2 + 215 + 3 + 4 + 22 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7385339844 + 14768082576 = 85938^2 + 121524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22153422427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829837 + ... + 856116.

Almost surely, 222153422420 is an apocalyptic number.

22153422420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22153422420 is an abundant number, since it is smaller than the sum of its proper divisors (45965862996).

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

22153422420 is a wasteful number, since it uses less digits than its factorization.

22153422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686041 (or 1686036 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22153422420 its reverse (2422435122), we get a palindrome (24575857542).

The spelling of 22153422420 in words is "twenty-two billion, one hundred fifty-three million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 1685953 3371906 5057859 6743812 8429765 10115718 15173577 16859530 20231436 25289295 30347154 33719060 50578590 60694308 75867885 101157180 123074569 151735770 246149138 303471540 369223707 492298276 615372845 738447414 1107671121 1230745690 1476894828 1846118535 2215342242 2461491380 3692237070 4430684484 5538355605 7384474140 11076711210 22153422420