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2242330224 = 24349195143
BaseRepresentation
bin1000010110100111…
…0011111001110000
312210021100011210120
42011221303321300
514043014031344
61010300530240
7106365330621
oct20551637160
95707304716
102242330224
11a50811982
12526b50980
13299732a24
14173b39a48
15d1cce219
hex85a73e70

2242330224 has 40 divisors (see below), whose sum is σ = 5804545152. Its totient is φ = 745913280.

The previous prime is 2242330217. The next prime is 2242330231. The reversal of 2242330224 is 4220332422.

It is a happy number.

2242330224 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 an interprime number because it is at equal distance from previous prime (2242330217) and next prime (2242330231).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2242330194 and 2242330203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24004 + ... + 71139.

Almost surely, 22242330224 is an apocalyptic number.

2242330224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242330224 is an abundant number, since it is smaller than the sum of its proper divisors (3562214928).

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

2242330224 is a wasteful number, since it uses less digits than its factorization.

2242330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95645 (or 95639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2242330224 is about 47353.2493499654. The cubic root of 2242330224 is about 1308.8800761967.

Adding to 2242330224 its reverse (4220332422), we get a palindrome (6462662646).

The spelling of 2242330224 in words is "two billion, two hundred forty-two million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 491 982 1473 1964 2946 3928 5892 7856 11784 23568 95143 190286 285429 380572 570858 761144 1141716 1522288 2283432 4566864 46715213 93430426 140145639 186860852 280291278 373721704 560582556 747443408 1121165112 2242330224