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2330948880 = 24335131719257
BaseRepresentation
bin1000101011101111…
…0111010100010000
320000110002110202000
42022323313110100
514233210331010
61023144154000
7111522511221
oct21273672420
96013073660
102330948880
11a9683a437
12550768900
132b1bbccc0
14181807248
15d99867c0
hex8aef7510

2330948880 has 640 divisors, whose sum is σ = 9674380800. Its totient is φ = 509607936.

The previous prime is 2330948857. The next prime is 2330948881. The reversal of 2330948880 is 888490332.

2330948880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2330948881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9069712 + ... + 9069968.

It is an arithmetic number, because the mean of its divisors is an integer number (15116220).

Almost surely, 22330948880 is an apocalyptic number.

2330948880 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 2330948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837190400).

2330948880 is an abundant number, since it is smaller than the sum of its proper divisors (7343431920).

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

2330948880 is a wasteful number, since it uses less digits than its factorization.

2330948880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2330948880 is about 48279.9014083500. The cubic root of 2330948880 is about 1325.9004450144.

The spelling of 2330948880 in words is "two billion, three hundred thirty million, nine hundred forty-eight thousand, eight hundred eighty".