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2230986240 = 2934572953
BaseRepresentation
bin1000010011111010…
…0010011000000000
312202110222211210000
42010332202120000
514032113024430
61005213440000
7106200033030
oct20476423000
95673884700
102230986240
11a45373a8a
125231a0000
13297290502
141724258c0
15d0cdce60
hex84fa2600

2230986240 has 800 divisors, whose sum is σ = 9625366080. Its totient is φ = 483065856.

The previous prime is 2230986239. The next prime is 2230986253. The reversal of 2230986240 is 426890322.

2230986240 is a `hidden beast` number, since 2 + 23 + 0 + 9 + 8 + 624 + 0 = 666.

It is a super-3 number, since 3×22309862403 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2230986195 and 2230986204.

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 79 ways as a sum of consecutive naturals, for example, 42094054 + ... + 42094106.

Almost surely, 22230986240 is an apocalyptic number.

2230986240 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 2230986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812683040).

2230986240 is an abundant number, since it is smaller than the sum of its proper divisors (7394379840).

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

2230986240 is an equidigital number, since it uses as much as digits as its factorization.

2230986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

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

The square root of 2230986240 is about 47233.3170548078. The cubic root of 2230986240 is about 1306.6691285992.

The spelling of 2230986240 in words is "two billion, two hundred thirty million, nine hundred eighty-six thousand, two hundred forty".