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22442400133 = 411453376721
BaseRepresentation
bin10100111001101010…
…111101100110000101
32010221001100001100221
4110321222331212011
5331430223301013
614150534304341
71423100152666
oct247152754605
963831301327
1022442400133
11957717142a
124423ab80b1
1321686ba70a
14112c82136d
158b53ba08d
hex539abd985

22442400133 has 8 divisors (see below), whose sum is σ = 23005659096. Its totient is φ = 21879897600.

The previous prime is 22442400091. The next prime is 22442400137. The reversal of 22442400133 is 33100424422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1168135684 + 21274264449 = 34178^2 + 145857^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22442400133 - 213 = 22442391941 is a prime.

It is a super-2 number, since 2×224424001332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22442400098 and 22442400107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442400137) 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 7 ways as a sum of consecutive naturals, for example, 128788 + ... + 247933.

It is an arithmetic number, because the mean of its divisors is an integer number (2875707387).

Almost surely, 222442400133 is an apocalyptic number.

It is an amenable number.

22442400133 is a deficient number, since it is larger than the sum of its proper divisors (563258963).

22442400133 is a wasteful number, since it uses less digits than its factorization.

22442400133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378215.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22442400133 its reverse (33100424422), we get a palindrome (55542824555).

The spelling of 22442400133 in words is "twenty-two billion, four hundred forty-two million, four hundred thousand, one hundred thirty-three".

Divisors: 1 41 1453 59573 376721 15445561 547375613 22442400133