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22800494016 = 2632374392437
BaseRepresentation
bin10101001111000000…
…111110110111000000
32011212000011002211100
4111033000332313000
5333143411302031
614250245414400
71435006000326
oct251700766700
964760132740
1022800494016
119740314693
124503a0a400
1321c49489a1
1411641d7d16
158d6a51de6
hex54f03edc0

22800494016 has 168 divisors, whose sum is σ = 67300307360. Its totient is φ = 7374882816.

The previous prime is 22800493997. The next prime is 22800494029. The reversal of 22800494016 is 61049400822.

It is a super-3 number, since 3×228004940163 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9354750 + ... + 9357186.

Almost surely, 222800494016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22800494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33650153680).

22800494016 is an abundant number, since it is smaller than the sum of its proper divisors (44499813344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22800494016 is a wasteful number, since it uses less digits than its factorization.

22800494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 22800494016 its reverse (61049400822), we get a palindrome (83849894838).

The spelling of 22800494016 in words is "twenty-two billion, eight hundred million, four hundred ninety-four thousand, sixteen".