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2230968960 = 2733511397
BaseRepresentation
bin1000010011111001…
…1110001010000000
312202110221222002000
42010332132022000
514032112001320
61005213224000
7106166631453
oct20476361200
95673858060
102230968960
11a45362000
12523192000
1329728569c
1417241d49a
15d0cd7c90
hex84f9e280

2230968960 has 512 divisors, whose sum is σ = 8780486400. Its totient is φ = 535265280.

The previous prime is 2230968937. The next prime is 2230968977. The reversal of 2230968960 is 698690322.

It is a super-3 number, since 3×22309689603 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 22999632 + ... + 22999728.

Almost surely, 22230968960 is an apocalyptic number.

2230968960 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 2230968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390243200).

2230968960 is an abundant number, since it is smaller than the sum of its proper divisors (6549517440).

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

2230968960 is an equidigital number, since it uses as much as digits as its factorization.

2230968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2230968960 is about 47233.1341327251. The cubic root of 2230968960 is about 1306.6657550089.

The spelling of 2230968960 in words is "two billion, two hundred thirty million, nine hundred sixty-eight thousand, nine hundred sixty".