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22232442100340 = 2256132215657657
BaseRepresentation
bin1010000111000011001001…
…10100000101101001110100
32220201101211010010111101002
411003201210310011221310
510403224020134202330
6115141235400022432
74453145432542613
oct503414464055164
986641733114332
1022232442100340
1170a17a8a7019a
1225b0967a61a18
13c53683168844
1456c0ad6d587a
152884b4501e45
hex143864d05a74

22232442100340 has 48 divisors (see below), whose sum is σ = 47468248493904. Its totient is φ = 8744473113600.

The previous prime is 22232442100327. The next prime is 22232442100369. The reversal of 22232442100340 is 4300124423222.

It can be written as a sum of positive squares in 8 ways, for example, as 382819388176 + 21849622712164 = 618724^2 + 4674358^2 .

It is a congruent number.

It is an unprimeable number.

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, 1100792 + ... + 6758448.

It is an arithmetic number, because the mean of its divisors is an integer number (988921843623).

Almost surely, 222232442100340 is an apocalyptic number.

22232442100340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22232442100340 is an abundant number, since it is smaller than the sum of its proper divisors (25235806393564).

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

22232442100340 is a wasteful number, since it uses less digits than its factorization.

22232442100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660948 (or 5660946 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 22232442100340 its reverse (4300124423222), we get a palindrome (26532566523562).

The spelling of 22232442100340 in words is "twenty-two trillion, two hundred thirty-two billion, four hundred forty-two million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 3221 6442 12884 16105 32210 64420 196481 392962 785924 982405 1964810 3929620 5657657 11315314 22630628 28288285 56576570 113153140 345117077 690234154 1380468308 1725585385 3451170770 6902341540 18223313197 36446626394 72893252788 91116565985 182233131970 364466263940 1111622105017 2223244210034 4446488420068 5558110525085 11116221050170 22232442100340