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5022133200 = 24325271719617
BaseRepresentation
bin1001010110101011…
…11010101111010000
3110222000000210121100
410223111322233100
540241131230300
62150201424400
7235311266520
oct45325725720
913860023540
105022133200
112147955007
12b81a9b100
1362060ac66
14358dc3680
151e5d79700
hex12b57abd0

5022133200 has 720 divisors, whose sum is σ = 22235541120. Its totient is φ = 1021870080.

The previous prime is 5022133199. The next prime is 5022133229. The reversal of 5022133200 is 23312205.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8139292 + ... + 8139908.

It is an arithmetic number, because the mean of its divisors is an integer number (30882696).

Almost surely, 25022133200 is an apocalyptic number.

5022133200 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 5022133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117770560).

5022133200 is an abundant number, since it is smaller than the sum of its proper divisors (17213407920).

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

5022133200 is a wasteful number, since it uses less digits than its factorization.

5022133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5022133200 is about 70867.0106608145. The cubic root of 5022133200 is about 1712.4953820892.

Adding to 5022133200 its reverse (23312205), we get a palindrome (5045445405).

The spelling of 5022133200 in words is "five billion, twenty-two million, one hundred thirty-three thousand, two hundred".