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5522114400 = 253521119101109
BaseRepresentation
bin1010010010010010…
…01100011101100000
3112020211211110212120
411021021030131200
542302130130100
62311542024240
7253562124615
oct51111143540
915224743776
105522114400
1123840a9310
1210a1418080
136a008761a
143a557250c
15224bdc0a0
hex14924c760

5522114400 has 576 divisors, whose sum is σ = 21036153600. Its totient is φ = 1244160000.

The previous prime is 5522114399. The next prime is 5522114441. The reversal of 5522114400 is 44112255.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50661546 + ... + 50661654.

It is an arithmetic number, because the mean of its divisors is an integer number (36521100).

Almost surely, 25522114400 is an apocalyptic number.

5522114400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5522114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518076800).

5522114400 is an abundant number, since it is smaller than the sum of its proper divisors (15514039200).

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

5522114400 is a wasteful number, since it uses less digits than its factorization.

5522114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5522114400 is about 74310.9305553362. The cubic root of 5522114400 is about 1767.5368080164.

Adding to 5522114400 its reverse (44112255), we get a palindrome (5566226655).

The spelling of 5522114400 in words is "five billion, five hundred twenty-two million, one hundred fourteen thousand, four hundred".