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2243104224 = 25325790917
BaseRepresentation
bin1000010110110011…
…0000110111100000
312210022210111112020
42011230300313200
514043213313344
61010325301440
7106405033314
oct20554606740
95708714466
102243104224
11a511a0449
12527264880
1329994410a
14173c9bb44
15d1dd3719
hex85b30de0

2243104224 has 48 divisors (see below), whose sum is σ = 5911124688. Its totient is φ = 744783872.

The previous prime is 2243104217. The next prime is 2243104247. The reversal of 2243104224 is 4224013422.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2243104194 and 2243104203.

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, 20787 + ... + 70130.

It is an arithmetic number, because the mean of its divisors is an integer number (123148431).

Almost surely, 22243104224 is an apocalyptic number.

2243104224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2243104224 is an abundant number, since it is smaller than the sum of its proper divisors (3668020464).

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

2243104224 is a wasteful number, since it uses less digits than its factorization.

2243104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91187 (or 91179 counting only the distinct ones).

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

The square root of 2243104224 is about 47361.4212624579. The cubic root of 2243104224 is about 1309.0306571455.

Adding to 2243104224 its reverse (4224013422), we get a palindrome (6467117646).

The spelling of 2243104224 in words is "two billion, two hundred forty-three million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 24672 90917 181834 272751 363668 545502 727336 1091004 1454672 2182008 2909344 4364016 8728032 23365669 46731338 70097007 93462676 140194014 186925352 280388028 373850704 560776056 747701408 1121552112 2243104224