Search a number
-
+
2255779512 = 2332761239307
BaseRepresentation
bin1000011001110100…
…0111011010111000
312211012122110202100
42012131013122320
514104434421022
61011501103400
7106620544440
oct20635073270
95735573670
102255779512
11a58368598
1252b557b60
1329c46159c
1417583b120
15d30891ac
hex867476b8

2255779512 has 192 divisors, whose sum is σ = 7149542400. Its totient is φ = 629233920.

The previous prime is 2255779507. The next prime is 2255779531. The reversal of 2255779512 is 2159775522.

2255779512 is a `hidden beast` number, since 2 + 2 + 557 + 7 + 95 + 1 + 2 = 666.

2255779512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7347663 + ... + 7347969.

It is an arithmetic number, because the mean of its divisors is an integer number (37237200).

Almost surely, 22255779512 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 2255779512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574771200).

2255779512 is an abundant number, since it is smaller than the sum of its proper divisors (4893762888).

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

2255779512 is a wasteful number, since it uses less digits than its factorization.

2255779512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 619 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 2255779512 is about 47495.0472365277. The cubic root of 2255779512 is about 1311.4917086544.

The spelling of 2255779512 in words is "two billion, two hundred fifty-five million, seven hundred seventy-nine thousand, five hundred twelve".