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2230062984 = 23321973137163
BaseRepresentation
bin1000010011101100…
…0000111110001000
312202102020221022100
42010323000332020
514031344003414
61005141553400
7106156136232
oct20473007610
95672227270
102230062984
11a448a3366
12522a15860
132970291c6
14172265252
15d0ba9609
hex84ec0f88

2230062984 has 192 divisors, whose sum is σ = 6531595200. Its totient is φ = 685283328.

The previous prime is 2230062973. The next prime is 2230062997. The reversal of 2230062984 is 4892600322.

2230062984 is a `hidden beast` number, since 2 + 23 + 0 + 0 + 629 + 8 + 4 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13681287 + ... + 13681449.

It is an arithmetic number, because the mean of its divisors is an integer number (34018725).

Almost surely, 22230062984 is an apocalyptic number.

2230062984 is a gapful number since it is divisible by the number (24) 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 2230062984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265797600).

2230062984 is an abundant number, since it is smaller than the sum of its proper divisors (4301532216).

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

2230062984 is a wasteful number, since it uses less digits than its factorization.

2230062984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2230062984 is about 47223.5426879433. The cubic root of 2230062984 is about 1306.4888560745.

The spelling of 2230062984 in words is "two billion, two hundred thirty million, sixty-two thousand, nine hundred eighty-four".