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22112323232 = 251756971437
BaseRepresentation
bin10100100101111111…
…110100011010100000
32010002001020101222112
4110211333310122200
5330241223320412
614054103454452
71411651434446
oct244577643240
963061211875
1022112323232
1194179147aa
124351457428
1321151bb93c
1410daa5cb96
15896419722
hex525ff46a0

22112323232 has 48 divisors (see below), whose sum is σ = 46176094440. Its totient is φ = 10387365888.

The previous prime is 22112323229. The next prime is 22112323241. The reversal of 22112323232 is 23232321122.

It can be written as a sum of positive squares in 4 ways, for example, as 20358723856 + 1753599376 = 142684^2 + 41876^2 .

22112323232 is a modest number, since divided by 323232 gives 22112 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 22112323198 and 22112323207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273818 + ... + 345254.

Almost surely, 222112323232 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 22112323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23088047220).

22112323232 is an abundant number, since it is smaller than the sum of its proper divisors (24063771208).

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

22112323232 is a wasteful number, since it uses less digits than its factorization.

22112323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72033 (or 72025 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

Adding to 22112323232 its reverse (23232321122), we get a palindrome (45344644354).

The spelling of 22112323232 in words is "twenty-two billion, one hundred twelve million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 569 1138 2276 4552 9104 9673 18208 19346 38692 71437 77384 142874 154768 285748 309536 571496 1142992 1214429 2285984 2428858 4857716 9715432 19430864 38861728 40647653 81295306 162590612 325181224 650362448 691010101 1300724896 1382020202 2764040404 5528080808 11056161616 22112323232