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22409220232 = 2373115185487
BaseRepresentation
bin10100110111101100…
…011001000010001000
32010211201220100002201
4110313230121002020
5331343230021412
614143351205544
71422215141410
oct246754310210
963751810081
1022409220232
11955a469923
1244149768b4
132161871239
141128265640
158b2513e57
hex537b19088

22409220232 has 64 divisors (see below), whose sum is σ = 49897635840. Its totient is φ = 9232488000.

The previous prime is 22409220131. The next prime is 22409220241. The reversal of 22409220232 is 23202290422.

It is a happy number.

It is a super-3 number, since 3×224092202323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22409220232.

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, 219393 + ... + 304879.

It is an arithmetic number, because the mean of its divisors is an integer number (779650560).

Almost surely, 222409220232 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 22409220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948817920).

22409220232 is an abundant number, since it is smaller than the sum of its proper divisors (27488415608).

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

22409220232 is a wasteful number, since it uses less digits than its factorization.

22409220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85682 (or 85678 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 22409220232 in words is "twenty-two billion, four hundred nine million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 151 217 248 302 434 604 868 1057 1208 1736 2114 4228 4681 8456 9362 18724 32767 37448 65534 85487 131068 170974 262136 341948 598409 683896 1196818 2393636 2650097 4787272 5300194 10600388 12908537 18550679 21200776 25817074 37101358 51634148 74202716 90359759 103268296 148405432 180719518 361439036 400164647 722878072 800329294 1600658588 2801152529 3201317176 5602305058 11204610116 22409220232