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2289557088 = 2532713199439
BaseRepresentation
bin1000100001110111…
…1101111001100000
312220120012112212200
42020131331321200
514142111311323
61015105053200
7110510625360
oct21035757140
95816175780
102289557088
11a75439145
1253a927200
132a6459b10
1417a1109a0
15d600c443
hex8877de60

2289557088 has 288 divisors, whose sum is σ = 8072064000. Its totient is φ = 599436288.

The previous prime is 2289557087. The next prime is 2289557113. The reversal of 2289557088 is 8807559822.

2289557088 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 557 + 0 + 88 = 666.

2289557088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22895570882 = 10484143318422079488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289557087) 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, 5215173 + ... + 5215611.

It is an arithmetic number, because the mean of its divisors is an integer number (28028000).

Almost surely, 22289557088 is an apocalyptic number.

2289557088 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 2289557088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032000).

2289557088 is an abundant number, since it is smaller than the sum of its proper divisors (5782506912).

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

2289557088 is a wasteful number, since it uses less digits than its factorization.

2289557088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 2289557088 is about 47849.3164841464. The cubic root of 2289557088 is about 1318.0053068345.

The spelling of 2289557088 in words is "two billion, two hundred eighty-nine million, five hundred fifty-seven thousand, eighty-eight".