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22251413331 = 3272741128857
BaseRepresentation
bin10100101110010010…
…011001111101010011
32010102201221220201200
4110232102121331103
5331032330211311
614115553002243
71415260615110
oct245622317523
963381856650
1022251413331
1194893851a4
12438bb53383
132137c6aa84
141111307907
158a3741556
hex52e499f53

22251413331 has 24 divisors (see below), whose sum is σ = 36746178144. Its totient is φ = 12710355840.

The previous prime is 22251413281. The next prime is 22251413357. The reversal of 22251413331 is 13331415222.

It is not a de Polignac number, because 22251413331 - 218 = 22251151187 is a prime.

It is a super-2 number, since 2×222514133312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22251413295 and 22251413304.

It is not an unprimeable number, because it can be changed into a prime (22251413381) 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, 108255 + ... + 237111.

It is an arithmetic number, because the mean of its divisors is an integer number (1531090756).

Almost surely, 222251413331 is an apocalyptic number.

22251413331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22251413331 is a deficient number, since it is larger than the sum of its proper divisors (14494764813).

22251413331 is a wasteful number, since it uses less digits than its factorization.

22251413331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131611 (or 131608 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 22251413331 its reverse (13331415222), we get a palindrome (35582828553).

The spelling of 22251413331 in words is "twenty-two billion, two hundred fifty-one million, four hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 2741 8223 19187 24669 57561 128857 172683 386571 901999 1159713 2705997 8117991 353197037 1059591111 2472379259 3178773333 7417137777 22251413331