Search a number
-
+
22132012560 = 2435713173817
BaseRepresentation
bin10100100111001010…
…111011011000010000
32010010102021201122220
4110213022323120100
5330311243400220
614100045501040
71412311000650
oct244712733020
963112251586
1022132012560
119427a42679
124357b71780
1321192c3828
1410dd506360
15898008540
hex5272bb610

22132012560 has 80 divisors (see below), whose sum is σ = 78410564736. Its totient is φ = 5058745344.

The previous prime is 22132012531. The next prime is 22132012561. The reversal of 22132012560 is 6521023122.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22132012560.

It is not an unprimeable number, because it can be changed into a prime (22132012561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6585229 + ... + 6588588.

Almost surely, 222132012560 is an apocalyptic number.

22132012560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132012560 is an abundant number, since it is smaller than the sum of its proper divisors (56278552176).

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

22132012560 is a wasteful number, since it uses less digits than its factorization.

22132012560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13173840 (or 13173834 counting only the distinct ones).

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

Adding to 22132012560 its reverse (6521023122), we get a palindrome (28653035682).

The spelling of 22132012560 in words is "twenty-two billion, one hundred thirty-two million, twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 13173817 26347634 39521451 52695268 65869085 79042902 92216719 105390536 131738170 158085804 184433438 197607255 210781072 263476340 276650157 316171608 368866876 395214510 461083595 526952680 553300314 632343216 737733752 790429020 922167190 1053905360 1106600628 1383250785 1475467504 1580858040 1844334380 2213201256 2766501570 3161716080 3688668760 4426402512 5533003140 7377337520 11066006280 22132012560