Search a number
-
+
22629707812801 = 23972332257727
BaseRepresentation
bin1010010010100111000111…
…01100100000111111000001
32222010101020020122200000001
411021103203230200333001
510431231120200002201
6120043535543000001
74523641153434055
oct511234354407701
988111206580001
1022629707812801
117235229117921
122655957439001
13c81c84176a5b
145833d869bc65
152939b5d41301
hex1494e3b20fc1

22629707812801 has 48 divisors (see below), whose sum is σ = 24086192143104. Its totient is φ = 21218486648832.

The previous prime is 22629707812769. The next prime is 22629707812813. The reversal of 22629707812801 is 10821870792622.

It is not a de Polignac number, because 22629707812801 - 25 = 22629707812769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22629707812841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31127520700 + ... + 31127521426.

It is an arithmetic number, because the mean of its divisors is an integer number (501795669648).

Almost surely, 222629707812801 is an apocalyptic number.

It is an amenable number.

22629707812801 is a deficient number, since it is larger than the sum of its proper divisors (1456484330303).

22629707812801 is an equidigital number, since it uses as much as digits as its factorization.

22629707812801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 22629707812801 in words is "twenty-two trillion, six hundred twenty-nine billion, seven hundred seven million, eight hundred twelve thousand, eight hundred one".

Divisors: 1 23 97 233 257 727 2231 5359 5911 16721 22601 24929 54289 59881 70519 169391 186839 519823 573367 1248647 1377263 1621937 3895993 4297297 5266033 5808457 13952273 16430927 18123383 39468103 43533487 121118759 133594511 320902279 377911321 416837809 907766369 1001270201 1353370481 3828405991 4222748239 10143302471 31127521063 88053337793 97123209497 233295956833 983900339687 22629707812801