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52222816800 = 253352711171847
BaseRepresentation
bin110000101000101110…
…001111001000100000
311222210111102222001000
4300220232033020200
51323423020114200
635554004112000
73526062422130
oct605056171040
9158714388030
1052222816800
1120169467230
12a155395600
134c0342c93b
142755a2aac0
151559abc300
hexc28b8f220

52222816800 has 1152 divisors, whose sum is σ = 249464033280. Its totient is φ = 10207641600.

The previous prime is 52222816787. The next prime is 52222816831. The reversal of 52222816800 is 861822225.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28273477 + ... + 28275323.

It is an arithmetic number, because the mean of its divisors is an integer number (216548640).

Almost surely, 252222816800 is an apocalyptic number.

52222816800 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 52222816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124732016640).

52222816800 is an abundant number, since it is smaller than the sum of its proper divisors (197241216480).

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

52222816800 is a wasteful number, since it uses less digits than its factorization.

52222816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 52222816800 in words is "fifty-two billion, two hundred twenty-two million, eight hundred sixteen thousand, eight hundred".