Search a number
-
+
22182077192 = 2311247872
BaseRepresentation
bin10100101010001001…
…111010001100001000
32010020220111021102112
4110222021322030020
5330412102432232
614105034521452
71413456354662
oct245211721410
963226437375
1022182077192
119453227a00
124370896288
1321267a2482
141106019532
1589c5e74b2
hex52a27a308

22182077192 has 36 divisors (see below), whose sum is σ = 45725713215. Its totient is φ = 10080656080.

The previous prime is 22182077191. The next prime is 22182077221. The reversal of 22182077192 is 29177028122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11091038596 + 11091038596 = 105314^2 + 105314^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105314.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22182077191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4631423 + ... + 4636209.

Almost surely, 222182077192 is an apocalyptic number.

22182077192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22182077192 is an abundant number, since it is smaller than the sum of its proper divisors (23543636023).

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

22182077192 is an frugal number, since it uses more digits than its factorization.

22182077192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9602 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 22182077192 in words is "twenty-two billion, one hundred eighty-two million, seventy-seven thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 4787 9574 19148 38296 52657 105314 210628 421256 579227 1158454 2316908 4633816 22915369 45830738 91661476 183322952 252069059 504138118 1008276236 2016552472 2772759649 5545519298 11091038596 22182077192