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8869224000 = 2635371331131
BaseRepresentation
bin10000100001010010…
…11001111001000000
3211220010000021001210
420100221121321000
5121131010132000
64024030130120
7432534105630
oct102051317100
924803007053
108869224000
11384149a29a
121876350940
13ab4652550
14601cd26c0
1536d998350
hex210a59e40

8869224000 has 896 divisors, whose sum is σ = 37491277824. Its totient is φ = 1797120000.

The previous prime is 8869223983. The next prime is 8869224053. The reversal of 8869224000 is 4229688.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8869224000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67703935 + ... + 67704065.

It is an arithmetic number, because the mean of its divisors is an integer number (41842944).

Almost surely, 28869224000 is an apocalyptic number.

8869224000 is a gapful number since it is divisible by the number (80) 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 8869224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745638912).

8869224000 is an abundant number, since it is smaller than the sum of its proper divisors (28622053824).

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

8869224000 is a wasteful number, since it uses less digits than its factorization.

8869224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8869224000 is about 94176.5575926409. The cubic root of 8869224000 is about 2069.9596248747.

The spelling of 8869224000 in words is "eight billion, eight hundred sixty-nine million, two hundred twenty-four thousand".