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2284000740 = 223657223139
BaseRepresentation
bin1000100000100011…
…0001010111100100
312220011202021000000
42020020301113210
514134201010430
61014350021300
7110412454200
oct21010612744
95804667000
102284000740
11a7229361a
12538aa7830
132a5262a38
141794a5b00
15d57b0e60
hex882315e4

2284000740 has 504 divisors, whose sum is σ = 8791917120. Its totient is φ = 495766656.

The previous prime is 2284000739. The next prime is 2284000759. The reversal of 2284000740 is 470004822.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16431591 + ... + 16431729.

It is an arithmetic number, because the mean of its divisors is an integer number (17444280).

Almost surely, 22284000740 is an apocalyptic number.

2284000740 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 2284000740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395958560).

2284000740 is an abundant number, since it is smaller than the sum of its proper divisors (6507916380).

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

2284000740 is a wasteful number, since it uses less digits than its factorization.

2284000740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2284000740 is about 47791.2203234025. The cubic root of 2284000740 is about 1316.9382550014.

The spelling of 2284000740 in words is "two billion, two hundred eighty-four million, seven hundred forty", and thus it is an aban number.