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2230744320 = 2833579221
BaseRepresentation
bin1000010011110110…
…0111010100000000
312202110112112221000
42010331213110000
514032032304240
61005204332000
7106165004520
oct20475472400
95673475830
102230744320
11a45219252
125230a4000
1329720736c
141723a1680
15d0c91430
hex84f67500

2230744320 has 288 divisors, whose sum is σ = 9047888640. Its totient is φ = 509829120.

The previous prime is 2230744303. The next prime is 2230744333. The reversal of 2230744320 is 234470322.

2230744320 is a `hidden beast` number, since 223 + 0 + 7 + 4 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×22307443203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 237310 + ... + 246530.

It is an arithmetic number, because the mean of its divisors is an integer number (31416280).

Almost surely, 22230744320 is an apocalyptic number.

2230744320 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 2230744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523944320).

2230744320 is an abundant number, since it is smaller than the sum of its proper divisors (6817144320).

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

2230744320 is an equidigital number, since it uses as much as digits as its factorization.

2230744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2230744320 is about 47230.7560811808. The cubic root of 2230744320 is about 1306.6218967492.

The spelling of 2230744320 in words is "two billion, two hundred thirty million, seven hundred forty-four thousand, three hundred twenty".