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22420421321 = 1723237431567
BaseRepresentation
bin10100111000010111…
…000111101011001001
32010212111222102002212
4110320113013223021
5331404111440241
614144431234505
71422412302554
oct247027075311
963774872085
1022420421321
11956581a421
124418678a35
132163c936bc
14112993d69b
158b34c7beb
hex5385c7ac9

22420421321 has 48 divisors (see below), whose sum is σ = 26096361984. Its totient is φ = 19169644032.

The previous prime is 22420421281. The next prime is 22420421341. The reversal of 22420421321 is 12312402422.

It is a de Polignac number, because none of the positive numbers 2k-22420421321 is a prime.

It is a super-2 number, since 2×224204213212 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22420421341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14307080 + ... + 14308646.

It is an arithmetic number, because the mean of its divisors is an integer number (543674208).

Almost surely, 222420421321 is an apocalyptic number.

It is an amenable number.

22420421321 is a deficient number, since it is larger than the sum of its proper divisors (3675940663).

22420421321 is a wasteful number, since it uses less digits than its factorization.

22420421321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 22420421321 its reverse (12312402422), we get a palindrome (34732823743).

The spelling of 22420421321 in words is "twenty-two billion, four hundred twenty million, four hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 17 23 37 43 391 529 629 731 851 989 1567 1591 8993 14467 16813 19573 22747 26639 27047 36041 36593 57979 67381 332741 386699 612697 622081 828943 841639 985643 1145477 1333517 1549763 2493097 14092031 14307863 22669789 26345971 30670891 35644549 42382649 57341231 521405147 605957333 974800927 1318848313 22420421321