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2241000000 = 26335683
BaseRepresentation
bin1000010110010010…
…1111001001000000
312210011211121002000
42011210233021000
514042144000000
61010212224000
7106351120461
oct20544571100
95704747060
102241000000
11a4aa93518
1252660b000
13299388405
141738b0d68
15d1b1a000
hex8592f240

2241000000 has 392 divisors, whose sum is σ = 8334268320. Its totient is φ = 590400000.

The previous prime is 2240999977. The next prime is 2241000023. The reversal of 2241000000 is 1422.

It is an interprime number because it is at equal distance from previous prime (2240999977) and next prime (2241000023).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26999959 + ... + 27000041.

Almost surely, 22241000000 is an apocalyptic number.

2241000000 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 2241000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167134160).

2241000000 is an abundant number, since it is smaller than the sum of its proper divisors (6093268320).

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

2241000000 is an frugal number, since it uses more digits than its factorization.

2241000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2241000000 is about 47339.2015141785. The cubic root of 2241000000 is about 1308.6212014365.

Adding to 2241000000 its reverse (1422), we get a palindrome (2241001422).

The spelling of 2241000000 in words is "two billion, two hundred forty-one million", and thus it is an aban number.