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2421297000 = 233253299277
BaseRepresentation
bin1001000001010010…
…0000111101101000
320020202002122001200
42100110200331220
514424323001000
61040132444200
7114000453633
oct22024407550
96222078050
102421297000
111032839301
12576a79660
132c7834525
1418d804c1a
15e2881500
hex90520f68

2421297000 has 192 divisors, whose sum is σ = 8467102800. Its totient is φ = 623347200.

The previous prime is 2421296957. The next prime is 2421297001. The reversal of 2421297000 is 7921242.

It can be written as a sum of positive squares in 8 ways, for example, as 308423844 + 2112873156 = 17562^2 + 45966^2 .

It is not an unprimeable number, because it can be changed into a prime (2421297001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256362 + ... + 265638.

Almost surely, 22421297000 is an apocalyptic number.

2421297000 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 2421297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233551400).

2421297000 is an abundant number, since it is smaller than the sum of its proper divisors (6045805800).

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

2421297000 is a wasteful number, since it uses less digits than its factorization.

2421297000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9333 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2421297000 is about 49206.6763762805. The cubic root of 2421297000 is about 1342.8144972337.

The spelling of 2421297000 in words is "two billion, four hundred twenty-one million, two hundred ninety-seven thousand".