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2283005088 = 25347139679
BaseRepresentation
bin1000100000010011…
…1110010010100000
312220002212200020000
42020010332102200
514133422130323
61014312420000
7110401136340
oct21004762240
95802780200
102283005088
11a71773571
125386a7600
132a4ca47b0
141792c6d20
15d5665e43
hex8813e4a0

2283005088 has 240 divisors, whose sum is σ = 8264551680. Its totient is φ = 602049024.

The previous prime is 2283005069. The next prime is 2283005099. The reversal of 2283005088 is 8805003822.

2283005088 is a `hidden beast` number, since 228 + 300 + 50 + 88 = 666.

It is a super-2 number, since 2×22830050882 = 10424224463667775488, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231033 + ... + 240711.

It is an arithmetic number, because the mean of its divisors is an integer number (34435632).

Almost surely, 22283005088 is an apocalyptic number.

2283005088 is a gapful number since it is divisible by the number (28) 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 2283005088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132275840).

2283005088 is an abundant number, since it is smaller than the sum of its proper divisors (5981546592).

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

2283005088 is a wasteful number, since it uses less digits than its factorization.

2283005088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721 (or 9704 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2283005088 is about 47780.8025047717. The cubic root of 2283005088 is about 1316.7468652818.

The spelling of 2283005088 in words is "two billion, two hundred eighty-three million, five thousand, eighty-eight".