Search a number
-
+
2293837824 = 21232941157
BaseRepresentation
bin1000100010111001…
…0011000000000000
312220212021000221110
42020232103000000
514144210302244
61015340523320
7110562204555
oct21056230000
95825230843
102293837824
11a778a2343
12540250540
132a72c83b5
1417a906a2c
15d65a59b9
hex88b93000

2293837824 has 208 divisors, whose sum is σ = 6522657120. Its totient is φ = 715653120.

The previous prime is 2293837801. The next prime is 2293837841. The reversal of 2293837824 is 4287383922.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14610354 + ... + 14610510.

Almost surely, 22293837824 is an apocalyptic number.

2293837824 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 2293837824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261328560).

2293837824 is an abundant number, since it is smaller than the sum of its proper divisors (4228819296).

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

2293837824 is a wasteful number, since it uses less digits than its factorization.

2293837824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 2293837824 is about 47894.0270179905. The cubic root of 2293837824 is about 1318.8262108978.

The spelling of 2293837824 in words is "two billion, two hundred ninety-three million, eight hundred thirty-seven thousand, eight hundred twenty-four".