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22031044144344 = 233219611012613953
BaseRepresentation
bin1010000001001100000001…
…00011110110110011011000
32220000010222100100021202200
411000212000203312303120
510341424034300104334
6114504531050530200
74432455545265264
oct500460043666330
986003870307680
1022031044144344
11702434a086a64
122579920136960
13c3a698335391
14562445ab50a4
1528312848d799
hex1409808f6cd8

22031044144344 has 192 divisors, whose sum is σ = 64469515874400. Its totient is φ = 6775363584000.

The previous prime is 22031044144321. The next prime is 22031044144427. The reversal of 22031044144344 is 44344144013022.

22031044144344 is a `hidden beast` number, since 2 + 203 + 1 + 0 + 4 + 4 + 1 + 443 + 4 + 4 = 666.

It is a super-2 number, since 2×220310441443442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22031044144299 and 22031044144308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7121272 + ... + 9735224.

Almost surely, 222031044144344 is an apocalyptic number.

22031044144344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22031044144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32234757937200).

22031044144344 is an abundant number, since it is smaller than the sum of its proper divisors (42438471730056).

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

22031044144344 is a wasteful number, since it uses less digits than its factorization.

22031044144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614146 (or 2614139 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 22031044144344 its reverse (44344144013022), we get a palindrome (66375188157366).

The spelling of 22031044144344 in words is "twenty-two trillion, thirty-one billion, forty-four million, one hundred forty-four thousand, three hundred forty-four".