Search a number
-
+
22153430112 = 2531144946723
BaseRepresentation
bin10100101000011100…
…101000010001100000
32010011220120212000120
4110220130220101200
5330332234230422
614102132520240
71412661022542
oct245034502140
963156525016
1022153430112
119439040a30
124363180080
132120882238
1411022bd692
15899d3945c
hex528728460

22153430112 has 96 divisors (see below), whose sum is σ = 63582019200. Its totient is φ = 6698065920.

The previous prime is 22153430077. The next prime is 22153430129. The reversal of 22153430112 is 21103435122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 450783 + ... + 497505.

It is an arithmetic number, because the mean of its divisors is an integer number (662312700).

Almost surely, 222153430112 is an apocalyptic number.

22153430112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22153430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31791009600).

22153430112 is an abundant number, since it is smaller than the sum of its proper divisors (41428589088).

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

22153430112 is a wasteful number, since it uses less digits than its factorization.

22153430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47196 (or 47188 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 22153430112 its reverse (21103435122), we get a palindrome (43256865234).

The spelling of 22153430112 in words is "twenty-two billion, one hundred fifty-three million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 449 528 898 1056 1347 1796 2694 3592 4939 5388 7184 9878 10776 14368 14817 19756 21552 29634 39512 43104 46723 59268 79024 93446 118536 140169 158048 186892 237072 280338 373784 474144 513953 560676 747568 1027906 1121352 1495136 1541859 2055812 2242704 3083718 4111624 4485408 6167436 8223248 12334872 16446496 20978627 24669744 41957254 49339488 62935881 83914508 125871762 167829016 230764897 251743524 335658032 461529794 503487048 671316064 692294691 923059588 1006974096 1384589382 1846119176 2013948192 2769178764 3692238352 5538357528 7384476704 11076715056 22153430112