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22304022032 = 24172916131753
BaseRepresentation
bin10100110001011011…
…000101111000010000
32010120101221201022002
4110301123011320100
5331134312201112
614125112333132
71416500026205
oct246133057020
963511851262
1022304022032
119506047966
1243a56a41a8
132145b2a696
1411182bdcac
158a81841c2
hex5316c5e10

22304022032 has 80 divisors (see below), whose sum is σ = 47390203440. Its totient is φ = 10122018816.

The previous prime is 22304022019. The next prime is 22304022071. The reversal of 22304022032 is 23022040322.

It can be written as a sum of positive squares in 8 ways, for example, as 161391616 + 22142630416 = 12704^2 + 148804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22304021995 and 22304022013.

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, 12722468 + ... + 12724220.

It is an arithmetic number, because the mean of its divisors is an integer number (592377543).

Almost surely, 222304022032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22304022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23695101720).

22304022032 is an abundant number, since it is smaller than the sum of its proper divisors (25086181408).

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

22304022032 is a wasteful number, since it uses less digits than its factorization.

22304022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3414 counting only the distinct ones).

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

Adding to 22304022032 its reverse (23022040322), we get a palindrome (45326062354).

The spelling of 22304022032 in words is "twenty-two billion, three hundred four million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1613 1753 1972 3226 3506 3944 6452 7012 7888 12904 14024 25808 27421 28048 29801 46777 50837 54842 59602 93554 101674 109684 119204 187108 203348 219368 238408 374216 406696 438736 476816 748432 795209 813392 864229 1590418 1728458 2827589 3180836 3456916 5655178 6361672 6913832 11310356 12723344 13827664 22620712 45241424 48069013 82000081 96138026 164000162 192276052 328000324 384552104 656000648 769104208 1312001296 1394001377 2788002754 5576005508 11152011016 22304022032