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2230922304 = 263313472113
BaseRepresentation
bin1000010011111001…
…0010110001000000
312202110212121002000
42010332102301000
514032104003204
61005212224000
7106166345442
oct20476226100
95673777060
102230922304
11a4532aa46
1252316b000
1329726a390
1417240a492
15d0cc9039
hex84f92c40

2230922304 has 224 divisors, whose sum is σ = 7216688640. Its totient is φ = 671514624.

The previous prime is 2230922261. The next prime is 2230922333. The reversal of 2230922304 is 4032290322.

It is a super-3 number, since 3×22309223043 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054752 + ... + 1056864.

It is an arithmetic number, because the mean of its divisors is an integer number (32217360).

Almost surely, 22230922304 is an apocalyptic number.

2230922304 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 2230922304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608344320).

2230922304 is an abundant number, since it is smaller than the sum of its proper divisors (4985766336).

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

2230922304 is a wasteful number, since it uses less digits than its factorization.

2230922304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2230922304 is about 47232.6402395631. The cubic root of 2230922304 is about 1306.6566462279.

The spelling of 2230922304 in words is "two billion, two hundred thirty million, nine hundred twenty-two thousand, three hundred four".