Search a number
-
+
22142522232 = 2334103331753
BaseRepresentation
bin10100100111110011…
…000001001101111000
32010011011001200020000
4110213303001031320
5330321441202412
614101103033000
71412466222255
oct244763011570
963134050200
1022142522232
119432970756
12435b59b760
13211b53337c
141100a8042c
15898dd24dc
hex527cc1378

22142522232 has 80 divisors (see below), whose sum is σ = 62621885040. Its totient is φ = 7309160064.

The previous prime is 22142522201. The next prime is 22142522249. The reversal of 22142522232 is 23222524122.

It is a happy number.

22142522232 is a `hidden beast` number, since 2 + 2 + 1 + 425 + 2 + 2 + 232 = 666.

It is a super-2 number, since 2×221425222322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22142522196 and 22142522205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99133 + ... + 232620.

It is an arithmetic number, because the mean of its divisors is an integer number (782773563).

Almost surely, 222142522232 is an apocalyptic number.

It is an amenable number.

22142522232 is an abundant number, since it is smaller than the sum of its proper divisors (40479362808).

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

22142522232 is a wasteful number, since it uses less digits than its factorization.

22142522232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331874 (or 331861 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The spelling of 22142522232 in words is "twenty-two billion, one hundred forty-two million, five hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 824 927 1236 1854 2472 2781 3708 5562 7416 8343 11124 16686 22248 33372 66744 331753 663506 995259 1327012 1990518 2654024 2985777 3981036 5971554 7962072 8957331 11943108 17914662 23886216 26871993 34170559 35829324 53743986 68341118 71658648 102511677 107487972 136682236 205023354 214975944 273364472 307535031 410046708 615070062 820093416 922605093 1230140124 1845210186 2460280248 2767815279 3690420372 5535630558 7380840744 11071261116 22142522232