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2230993260 = 223356189761
BaseRepresentation
bin1000010011111010…
…0100000101101100
312202111000012102000
42010332210011230
514032113241020
61005213532300
7106200062346
oct20476440554
95674005360
102230993260
11a45379291
125231a4090
13297293772
14172428296
15d0ce0090
hex84fa416c

2230993260 has 192 divisors, whose sum is σ = 7143292800. Its totient is φ = 577843200.

The previous prime is 2230993231. The next prime is 2230993267. The reversal of 2230993260 is 623990322.

2230993260 is a `hidden beast` number, since 2 + 2 + 309 + 93 + 260 = 666.

It is a super-3 number, since 3×22309932603 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2230993267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2931280 + ... + 2932040.

It is an arithmetic number, because the mean of its divisors is an integer number (37204650).

Almost surely, 22230993260 is an apocalyptic number.

2230993260 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 2230993260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571646400).

2230993260 is an abundant number, since it is smaller than the sum of its proper divisors (4912299540).

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

2230993260 is a wasteful number, since it uses less digits than its factorization.

2230993260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2230993260 is about 47233.3913667016. The cubic root of 2230993260 is about 1306.6704991153.

The spelling of 2230993260 in words is "two billion, two hundred thirty million, nine hundred ninety-three thousand, two hundred sixty".