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2242314024 = 233191489161
BaseRepresentation
bin1000010110100110…
…1111111100101000
312210021022100120120
42011221233330220
514043013022044
61010300323240
7106365232446
oct20551577450
95707270516
102242314024
11a50800795
12526b43520
13299728542
14173b33b96
15d1cc9519
hex85a6ff28

2242314024 has 32 divisors (see below), whose sum is σ = 5635146240. Its totient is φ = 743523200.

The previous prime is 2242314007. The next prime is 2242314037. The reversal of 2242314024 is 4204132422.

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 = 2242313985 and 2242314003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239997 + ... + 249164.

It is an arithmetic number, because the mean of its divisors is an integer number (176098320).

Almost surely, 22242314024 is an apocalyptic number.

2242314024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242314024 is an abundant number, since it is smaller than the sum of its proper divisors (3392832216).

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

2242314024 is a wasteful number, since it uses less digits than its factorization.

2242314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489361 (or 489357 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2242314024 is about 47353.0782948691. The cubic root of 2242314024 is about 1308.8769241322.

Adding to 2242314024 its reverse (4204132422), we get a palindrome (6446446446).

The spelling of 2242314024 in words is "two billion, two hundred forty-two million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 191 382 573 764 1146 1528 2292 4584 489161 978322 1467483 1956644 2934966 3913288 5869932 11739864 93429751 186859502 280289253 373719004 560578506 747438008 1121157012 2242314024