Search a number
-
+
2256754724 = 227431999419
BaseRepresentation
bin1000011010000011…
…0101100000100100
312211021111000111022
42012200311200210
514110212122344
61011534030312
7106632045560
oct20640654044
95737430438
102256754724
11a58974254
1252b948398
1329c713433
14175a126a0
15d31cd0ee
hex86835824

2256754724 has 48 divisors (see below), whose sum is σ = 4642176000. Its totient is φ = 939841056.

The previous prime is 2256754699. The next prime is 2256754757. The reversal of 2256754724 is 4274576522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234887 + ... + 244305.

It is an arithmetic number, because the mean of its divisors is an integer number (96712000).

Almost surely, 22256754724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256754724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321088000).

2256754724 is an abundant number, since it is smaller than the sum of its proper divisors (2385421276).

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

2256754724 is a wasteful number, since it uses less digits than its factorization.

2256754724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9670 counting only the distinct ones).

The product of its digits is 940800, while the sum is 44.

The square root of 2256754724 is about 47505.3125871202. The cubic root of 2256754724 is about 1311.6806748456.

The spelling of 2256754724 in words is "two billion, two hundred fifty-six million, seven hundred fifty-four thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 86 172 199 301 398 602 796 1204 1393 2786 5572 8557 9419 17114 18838 34228 37676 59899 65933 119798 131866 239596 263732 405017 810034 1620068 1874381 2835119 3748762 5670238 7497524 11340476 13120667 26241334 52482668 80598383 161196766 322393532 564188681 1128377362 2256754724