Search a number
-
+
2578223088 = 2433719231951
BaseRepresentation
bin1001100110101100…
…1000111111110000
320122200101022012000
42121223020333300
520240011114323
61103500134000
7120614351250
oct23153107760
96580338160
102578223088
111103381191
125bb537300
133211b9abc
141a65b3960
1510152ce43
hex99ac8ff0

2578223088 has 320 divisors, whose sum is σ = 9294643200. Its totient is φ = 667180800.

The previous prime is 2578223059. The next prime is 2578223113. The reversal of 2578223088 is 8803228752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1320513 + ... + 1322463.

It is an arithmetic number, because the mean of its divisors is an integer number (29045760).

Almost surely, 22578223088 is an apocalyptic number.

2578223088 is a gapful number since it is divisible by the number (28) 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 2578223088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647321600).

2578223088 is an abundant number, since it is smaller than the sum of its proper divisors (6716420112).

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

2578223088 is a wasteful number, since it uses less digits than its factorization.

2578223088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2578223088 is about 50776.2059236410. The cubic root of 2578223088 is about 1371.2190275831.

The spelling of 2578223088 in words is "two billion, five hundred seventy-eight million, two hundred twenty-three thousand, eighty-eight".