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22400355141 = 332381348443
BaseRepresentation
bin10100110111001010…
…100100101101000101
32010211010012221111000
4110313022210231011
5331333442331031
614142433203513
71422046606563
oct246712445505
963733187430
1022400355141
1195554643aa
124411a00599
13215ca89118
141126dd8a33
158b18623e6
hex5372a4b45

22400355141 has 16 divisors (see below), whose sum is σ = 33199744320. Its totient is φ = 14927255280.

The previous prime is 22400355137. The next prime is 22400355163. The reversal of 22400355141 is 14155300422.

It is not a de Polignac number, because 22400355141 - 22 = 22400355137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400355101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109935 + ... + 238508.

It is an arithmetic number, because the mean of its divisors is an integer number (2074984020).

Almost surely, 222400355141 is an apocalyptic number.

It is an amenable number.

22400355141 is a deficient number, since it is larger than the sum of its proper divisors (10799389179).

22400355141 is a wasteful number, since it uses less digits than its factorization.

22400355141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350833 (or 350827 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22400355141 its reverse (14155300422), we get a palindrome (36555655563).

The spelling of 22400355141 in words is "twenty-two billion, four hundred million, three hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 3 9 27 2381 7143 21429 64287 348443 1045329 3135987 9407961 829642783 2488928349 7466785047 22400355141