Search a number
-
+
2256806652 = 223188067221
BaseRepresentation
bin1000011010000100…
…0010001011111100
312211021120122201120
42012201002023330
514110220303102
61011535110540
7106632353142
oct20641021374
95737518646
102256806652
11a589aa271
1252b972450
1329c730c69
14175a27592
15d31dd6bc
hex868422fc

2256806652 has 12 divisors (see below), whose sum is σ = 5265882216. Its totient is φ = 752268880.

The previous prime is 2256806633. The next prime is 2256806659. The reversal of 2256806652 is 2566086522.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×22568066522 = 10186352529022898208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256806659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94033599 + ... + 94033622.

It is an arithmetic number, because the mean of its divisors is an integer number (438823518).

Almost surely, 22256806652 is an apocalyptic number.

It is an amenable number.

2256806652 is an abundant number, since it is smaller than the sum of its proper divisors (3009075564).

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

2256806652 is a wasteful number, since it uses less digits than its factorization.

2256806652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188067228 (or 188067226 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 2256806652 is about 47505.8591333743. The cubic root of 2256806652 is about 1311.6907353735.

The spelling of 2256806652 in words is "two billion, two hundred fifty-six million, eight hundred six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 188067221 376134442 564201663 752268884 1128403326 2256806652