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2230081920 = 273251161577
BaseRepresentation
bin1000010011101100…
…0101100110000000
312202102021220021200
42010323011212000
514031400110140
61005142221200
7106156245363
oct20473054600
95672256250
102230081920
11a44906610
12522a24800
13297034a01
1417226c0da
15d0bb0030
hex84ec5980

2230081920 has 384 divisors, whose sum is σ = 8553336480. Its totient is φ = 530841600.

The previous prime is 2230081883. The next prime is 2230081939. The reversal of 2230081920 is 291800322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3864672 + ... + 3865248.

Almost surely, 22230081920 is an apocalyptic number.

2230081920 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 2230081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276668240).

2230081920 is an abundant number, since it is smaller than the sum of its proper divisors (6323254560).

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

2230081920 is a wasteful number, since it uses less digits than its factorization.

2230081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2230081920 is about 47223.7431807348. The cubic root of 2230081920 is about 1306.4925539675.

The spelling of 2230081920 in words is "two billion, two hundred thirty million, eighty-one thousand, nine hundred twenty".