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5322283200 = 263952132
BaseRepresentation
bin1001111010011101…
…11001100011000000
3111201220211000000000
410331032321203000
541400001030300
62240043000000
7245614442433
oct47516714300
914656730000
105322283200
112291321163
121046509000
1366a85c100
14386bd581a
152123b7c00
hex13d3b98c0

5322283200 has 630 divisors, whose sum is σ = 21271185804. Its totient is φ = 1310100480.

The previous prime is 5322283199. The next prime is 5322283207. The reversal of 5322283200 is 23822235.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×53222832002 = 56653396922004480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5322283207) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 409406394 + ... + 409406406.

Almost surely, 25322283200 is an apocalyptic number.

5322283200 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 5322283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635592902).

5322283200 is an abundant number, since it is smaller than the sum of its proper divisors (15948902604).

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

5322283200 is an frugal number, since it uses more digits than its factorization.

5322283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5322283200 is about 72953.9800148011. The cubic root of 5322283200 is about 1745.9534475844.

Multiplying 5322283200 by its sum of digits (27), we get a square (143701646400 = 3790802).

5322283200 divided by its sum of digits (27) gives a square (197121600 = 140402).

The spelling of 5322283200 in words is "five billion, three hundred twenty-two million, two hundred eighty-three thousand, two hundred".