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2250868000 = 25531779419
BaseRepresentation
bin1000011000101001…
…1000010100100000
312210212101221102111
42012022120110200
514102210234000
61011203525104
7106531030243
oct20612302440
95725357374
102250868000
11a55613497
12529989794
1329b431b74
14174d1d25a
15d2918cba
hex86298520

2250868000 has 192 divisors, whose sum is σ = 5943974400. Its totient is φ = 834662400.

The previous prime is 2250867989. The next prime is 2250868001. The reversal of 2250868000 is 8680522.

It is not an unprimeable number, because it can be changed into a prime (2250868001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5371791 + ... + 5372209.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 22250868000 is an apocalyptic number.

2250868000 is a gapful number since it is divisible by the number (20) 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 2250868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971987200).

2250868000 is an abundant number, since it is smaller than the sum of its proper divisors (3693106400).

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

2250868000 is a wasteful number, since it uses less digits than its factorization.

2250868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2250868000 is about 47443.3135436386. The cubic root of 2250868000 is about 1310.5391794059.

The spelling of 2250868000 in words is "two billion, two hundred fifty million, eight hundred sixty-eight thousand".