Search a number
-
+
2264668704 = 25327863433
BaseRepresentation
bin1000011011111100…
…0001101000100000
312211211101002102200
42012333001220200
514114223344304
61012415413200
7110056236444
oct20677015040
95754332380
102264668704
11a6238a131
12532524200
132a125466c
14176ab2824
15d3c42e39
hex86fc1a20

2264668704 has 36 divisors (see below), whose sum is σ = 6440152446. Its totient is φ = 754889472.

The previous prime is 2264668673. The next prime is 2264668709. The reversal of 2264668704 is 4078664622.

It can be written as a sum of positive squares in only one way, i.e., 2128899600 + 135769104 = 46140^2 + 11652^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2264668704.

It is not an unprimeable number, because it can be changed into a prime (2264668709) 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 5 ways as a sum of consecutive naturals, for example, 3931429 + ... + 3932004.

Almost surely, 22264668704 is an apocalyptic number.

2264668704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2264668704 is an abundant number, since it is smaller than the sum of its proper divisors (4175483742).

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

2264668704 is a wasteful number, since it uses less digits than its factorization.

2264668704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863449 (or 7863438 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2264668704 is about 47588.5354260877. The cubic root of 2264668704 is about 1313.2121518624.

The spelling of 2264668704 in words is "two billion, two hundred sixty-four million, six hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7863433 15726866 23590299 31453732 47180598 62907464 70770897 94361196 125814928 141541794 188722392 251629856 283083588 377444784 566167176 754889568 1132334352 2264668704