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22321311444 = 2232620036429
BaseRepresentation
bin10100110010011101…
…000010111011010100
32010121121111002220200
4110302131002323110
5331203223431234
614130531100500
71420100005515
oct246235027324
963547432820
1022321311444
119514886733
1243ab441730
1321495a20c3
14111a700a0c
158a994bd99
hex532742ed4

22321311444 has 18 divisors (see below), whose sum is σ = 56423315130. Its totient is φ = 7440437136.

The previous prime is 22321311433. The next prime is 22321311527. The reversal of 22321311444 is 44411312322.

22321311444 is a `hidden beast` number, since 2 + 2 + 3 + 213 + 1 + 1 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22316774544 + 4536900 = 149388^2 + 2130^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×223213114443 (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 310018179 + ... + 310018250.

Almost surely, 222321311444 is an apocalyptic number.

It is an amenable number.

22321311444 is an abundant number, since it is smaller than the sum of its proper divisors (34102003686).

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

22321311444 is a wasteful number, since it uses less digits than its factorization.

22321311444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620036439 (or 620036434 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22321311444 its reverse (44411312322), we get a palindrome (66732623766).

The spelling of 22321311444 in words is "twenty-two billion, three hundred twenty-one million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 620036429 1240072858 1860109287 2480145716 3720218574 5580327861 7440437148 11160655722 22321311444