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2283342480 = 2433519234159
BaseRepresentation
bin1000100000011001…
…0000101010010000
312220010111211001000
42020012100222100
514134013424410
61014323542000
7110404043106
oct21006205220
95803454030
102283342480
11a71984001
1253882a900
132a5092233
14179373c76
15d56d0dc0
hex88190a90

2283342480 has 640 divisors, whose sum is σ = 8999424000. Its totient is φ = 529182720.

The previous prime is 2283342469. The next prime is 2283342493. The reversal of 2283342480 is 842433822.

It is a happy number.

2283342480 is a `hidden beast` number, since 228 + 3 + 3 + 424 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38700691 + ... + 38700749.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 22283342480 is an apocalyptic number.

2283342480 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 2283342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712000).

2283342480 is an abundant number, since it is smaller than the sum of its proper divisors (6716081520).

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

2283342480 is a wasteful number, since it uses less digits than its factorization.

2283342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2283342480 is about 47784.3329973329. The cubic root of 2283342480 is about 1316.8117268653.

It can be divided in two parts, 2283342 and 480, that added together give a palindrome (2283822).

The spelling of 2283342480 in words is "two billion, two hundred eighty-three million, three hundred forty-two thousand, four hundred eighty".