Search a number
-
+
2242066644 = 223262279629
BaseRepresentation
bin1000010110100011…
…0011100011010100
312210020211210020100
42011220303203110
514042432113034
61010251134100
7106363152306
oct20550634324
95706753210
102242066644
11a50651944
12526a44330
1329966ca6c
14173aab976
15d1c7b099
hex85a338d4

2242066644 has 18 divisors (see below), whose sum is σ = 5667446330. Its totient is φ = 747355536.

The previous prime is 2242066643. The next prime is 2242066663. The reversal of 2242066644 is 4466602422.

It can be written as a sum of positive squares in only one way, i.e., 2128899600 + 113167044 = 46140^2 + 10638^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×22420666442 = 10053725672274845472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 62279629 = 2242066644 / (2 + 2 + 4 + 2 + 0 + 6 + 6 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 2242066599 and 2242066608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242066643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31139779 + ... + 31139850.

Almost surely, 22242066644 is an apocalyptic number.

It is an amenable number.

2242066644 is an abundant number, since it is smaller than the sum of its proper divisors (3425379686).

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

2242066644 is a wasteful number, since it uses less digits than its factorization.

2242066644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62279639 (or 62279634 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2242066644 is about 47350.4661434288. The cubic root of 2242066644 is about 1308.8287890542.

The spelling of 2242066644 in words is "two billion, two hundred forty-two million, sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 62279629 124559258 186838887 249118516 373677774 560516661 747355548 1121033322 2242066644