Search a number
-
+
2255792 = 247111831
BaseRepresentation
bin1000100110101110110000
311020121100212
420212232300
51034141132
6120203252
725113440
oct10465660
94217325
102255792
1113008a0
12909528
1360c9b6
1442a120
152e85b2
hex226bb0

2255792 has 40 divisors (see below), whose sum is σ = 5452032. Its totient is φ = 878400.

The previous prime is 2255783. The next prime is 2255797. The reversal of 2255792 is 2975522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317 + ... + 2147.

22255792 is an apocalyptic number.

2255792 is a gapful number since it is divisible by the number (22) 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 2255792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726016).

2255792 is an abundant number, since it is smaller than the sum of its proper divisors (3196240).

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

2255792 is a wasteful number, since it uses less digits than its factorization.

2255792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1851 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 2255792 is about 1501.9294257721. The cubic root of 2255792 is about 131.1494128790.

The spelling of 2255792 in words is "two million, two hundred fifty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1831 3662 7324 12817 14648 20141 25634 29296 40282 51268 80564 102536 140987 161128 205072 281974 322256 563948 1127896 2255792