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22133103366 = 23112322764231
BaseRepresentation
bin10100100111001111…
…000101101100000110
32010010111100010222010
4110213033011230012
5330312033301431
614100125115050
71412323163103
oct244717055406
963114303863
1022133103366
119428618170
1243583b8a86
1321195b618a
1410dd70baaa
15898171846
hex5273c5b06

22133103366 has 64 divisors (see below), whose sum is σ = 50612760576. Its totient is φ = 6387031200.

The previous prime is 22133103361. The next prime is 22133103367. The reversal of 22133103366 is 66330133122.

It is a super-2 number, since 2×221331033662 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133103361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 312471 + ... + 376701.

It is an arithmetic number, because the mean of its divisors is an integer number (790824384).

Almost surely, 222133103366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133103366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25306380288).

22133103366 is an abundant number, since it is smaller than the sum of its proper divisors (28479657210).

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

22133103366 is a wasteful number, since it uses less digits than its factorization.

22133103366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64497.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 22133103366 its reverse (66330133122), we get a palindrome (88463236488).

The spelling of 22133103366 in words is "twenty-two billion, one hundred thirty-three million, one hundred three thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 227 253 454 506 681 759 1362 1518 2497 4994 5221 7491 10442 14982 15663 31326 57431 64231 114862 128462 172293 192693 344586 385386 706541 1413082 1477313 2119623 2954626 4239246 4431939 8863878 14580437 16250443 29160874 32500886 43741311 48751329 87482622 97502658 160384807 320769614 335350051 481154421 670700102 962308842 1006050153 2012100306 3688850561 7377701122 11066551683 22133103366