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22024111142022 = 23113274910189583
BaseRepresentation
bin1010000000111111000110…
…10100100011010010000110
32212222111002011200021111220
411000133203110203102012
510341320334423021042
6114501423104341210
74432122001606443
oct500374324432206
985874064607456
1022024111142022
117021411632780
122578506314806
13c39b31b89542
14561d88dd89ca
15282d6e9aa8ec
hex1407e3523486

22024111142022 has 32 divisors (see below), whose sum is σ = 48054078144000. Its totient is φ = 6673768626720.

The previous prime is 22024111142021. The next prime is 22024111142081.

22024111142022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×220241111420222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22024111141983 and 22024111142001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22024111142021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2933358 + ... + 7256225.

It is an arithmetic number, because the mean of its divisors is an integer number (1501689942000).

Almost surely, 222024111142022 is an apocalyptic number.

22024111142022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22024111142022 is an abundant number, since it is smaller than the sum of its proper divisors (26029967001978).

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

22024111142022 is a wasteful number, since it uses less digits than its factorization.

22024111142022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222348.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2202411 and 1142022, that added together give a palindrome (3344433).

The spelling of 22024111142022 in words is "twenty-two trillion, twenty-four billion, one hundred eleven million, one hundred forty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 32749 65498 98247 196494 360239 720478 1080717 2161434 10189583 20379166 30568749 61137498 112085413 224170826 336256239 672512478 333698653667 667397307334 1001095961001 2002191922002 3670685190337 7341370380674 11012055571011 22024111142022