Search a number
-
+
22120335432 = 23321323632837
BaseRepresentation
bin10100100110011110…
…011000100001001000
32010002121022110122200
4110212132120201020
5330300301213212
614054551320200
71412106514566
oct244636304110
963077273580
1022120335432
119421397458
124354080060
132116a657a0
1410dbb46a36
15896e9d6dc
hex526798848

22120335432 has 48 divisors (see below), whose sum is σ = 64517647740. Its totient is φ = 6806256768.

The previous prime is 22120335431. The next prime is 22120335467. The reversal of 22120335432 is 23453302122.

22120335432 is a `hidden beast` number, since 2 + 21 + 203 + 3 + 5 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15334859556 + 6785475876 = 123834^2 + 82374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22120335396 and 22120335405.

It is not an unprimeable number, because it can be changed into a prime (22120335431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11815483 + ... + 11817354.

Almost surely, 222120335432 is an apocalyptic number.

It is an amenable number.

22120335432 is an abundant number, since it is smaller than the sum of its proper divisors (42397312308).

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

22120335432 is a wasteful number, since it uses less digits than its factorization.

22120335432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23632862 (or 23632855 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22120335432 its reverse (23453302122), we get a palindrome (45573637554).

The spelling of 22120335432 in words is "twenty-two billion, one hundred twenty million, three hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 23632837 47265674 70898511 94531348 141797022 189062696 212695533 283594044 307226881 425391066 567188088 614453762 850782132 921680643 1228907524 1701564264 1843361286 2457815048 2765041929 3686722572 5530083858 7373445144 11060167716 22120335432