Search a number
-
+
2286906804 = 22337131937331
BaseRepresentation
bin1000100001001111…
…0110110110110100
312220101012220101000
42020103312312310
514140422004204
61014532203300
7110446246530
oct21023666664
95811186330
102286906804
11a73998a26
12539a69530
132a5a3c6c0
14179a20bc0
15d5b87039
hex884f6db4

2286906804 has 384 divisors, whose sum is σ = 7912755200. Its totient is φ = 554273280.

The previous prime is 2286906803. The next prime is 2286906821. The reversal of 2286906804 is 4086096822.

2286906804 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2286906804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286906803) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6908919 + ... + 6909249.

Almost surely, 22286906804 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 2286906804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956377600).

2286906804 is an abundant number, since it is smaller than the sum of its proper divisors (5625848396).

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

2286906804 is a wasteful number, since it uses less digits than its factorization.

2286906804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2286906804 is about 47821.6144018581. The cubic root of 2286906804 is about 1317.4965567544.

The spelling of 2286906804 in words is "two billion, two hundred eighty-six million, nine hundred six thousand, eight hundred four".