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22133104002 = 2321229616889
BaseRepresentation
bin10100100111001111…
…000101110110000010
32010010111100011211200
4110213033011312002
5330312033312002
614100125122030
71412323165002
oct244717056602
963114304750
1022133104002
119428618699
1243583b9316
1321195b6559
1410dd70c002
15898171b1c
hex5273c5d82

22133104002 has 12 divisors (see below), whose sum is σ = 47955058710. Its totient is φ = 7377701328.

The previous prime is 22133103991. The next prime is 22133104013. The reversal of 22133104002 is 20040133122.

22133104002 is a `hidden beast` number, since 221 + 33 + 10 + 400 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22133103991) and next prime (22133104013).

It can be written as a sum of positive squares in only one way, i.e., 13726231281 + 8406872721 = 117159^2 + 91689^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1229616889 = 22133104002 / (2 + 2 + 1 + 3 + 3 + 1 + 0 + 4 + 0 + 0 + 2).

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, 614808427 + ... + 614808462.

Almost surely, 222133104002 is an apocalyptic number.

22133104002 is an abundant number, since it is smaller than the sum of its proper divisors (25821954708).

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

22133104002 is a wasteful number, since it uses less digits than its factorization.

22133104002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229616897 (or 1229616894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22133104002 its reverse (20040133122), we get a palindrome (42173237124).

The spelling of 22133104002 in words is "twenty-two billion, one hundred thirty-three million, one hundred four thousand, two".

Divisors: 1 2 3 6 9 18 1229616889 2459233778 3688850667 7377701334 11066552001 22133104002