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22400302131 = 3247109485833
BaseRepresentation
bin10100110111001010…
…010111110000110011
32010211010010020202200
4110313022113300303
5331333434132011
614142432114243
71422046266204
oct246712276063
963733106680
1022400302131
119555428599
124411995983
13215ca6ac5c
141126dc35ab
158b1851856
hex537297c33

22400302131 has 24 divisors (see below), whose sum is σ = 33347645760. Its totient is φ = 14481680256.

The previous prime is 22400302103. The next prime is 22400302147. The reversal of 22400302131 is 13120300422.

22400302131 is a `hidden beast` number, since 22 + 400 + 30 + 213 + 1 = 666.

It is not a de Polignac number, because 22400302131 - 221 = 22398204979 is a prime.

It is a super-2 number, since 2×224003021312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22400302151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 196810 + ... + 289023.

It is an arithmetic number, because the mean of its divisors is an integer number (1389485240).

Almost surely, 222400302131 is an apocalyptic number.

22400302131 is a deficient number, since it is larger than the sum of its proper divisors (10947343629).

22400302131 is a wasteful number, since it uses less digits than its factorization.

22400302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485995 (or 485992 counting only the distinct ones).

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

Adding to 22400302131 its reverse (13120300422), we get a palindrome (35520602553).

The spelling of 22400302131 in words is "twenty-two billion, four hundred million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 47 109 141 327 423 981 5123 15369 46107 485833 1457499 4372497 22834151 52955797 68502453 158867391 205507359 476602173 2488922459 7466767377 22400302131