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2239267680 = 253451313291
BaseRepresentation
bin1000010101111000…
…1000001101100000
312210001120120210000
42011132020031200
514041223031210
61010111140000
7106330314126
oct20536101540
95701516700
102239267680
11a4a00aa51
12525b14600
13298bcca80
1417357d916
15d18c6ac0
hex85788360

2239267680 has 240 divisors, whose sum is σ = 8511292944. Its totient is φ = 551162880.

The previous prime is 2239267669. The next prime is 2239267721. The reversal of 2239267680 is 867629322.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161835 + ... + 175125.

Almost surely, 22239267680 is an apocalyptic number.

2239267680 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 2239267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255646472).

2239267680 is an abundant number, since it is smaller than the sum of its proper divisors (6272025264).

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

2239267680 is a wasteful number, since it uses less digits than its factorization.

2239267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13331 (or 13314 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2239267680 is about 47320.9010903216. The cubic root of 2239267680 is about 1308.2839211959.

The spelling of 2239267680 in words is "two billion, two hundred thirty-nine million, two hundred sixty-seven thousand, six hundred eighty".