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2240231224 = 2371125114489
BaseRepresentation
bin1000010110000111…
…0011011100111000
312210010101112111211
42011201303130320
514041444344344
61010143532504
7106341436240
oct20541633470
95703345454
102240231224
11a4a608970
125262ba134
1329917950a
14173750b20
15d1a17334
hex85873738

2240231224 has 64 divisors (see below), whose sum is σ = 5258131200. Its totient is φ = 869280000.

The previous prime is 2240231197. The next prime is 2240231269. The reversal of 2240231224 is 4221320422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2240231195 and 2240231204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147372 + ... + 161860.

It is an arithmetic number, because the mean of its divisors is an integer number (82158300).

Almost surely, 22240231224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240231224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629065600).

2240231224 is an abundant number, since it is smaller than the sum of its proper divisors (3017899976).

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

2240231224 is a wasteful number, since it uses less digits than its factorization.

2240231224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14764 (or 14760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2240231224 is about 47331.0809511044. The cubic root of 2240231224 is about 1308.4715433024.

Adding to 2240231224 its reverse (4221320422), we get a palindrome (6461551646).

The spelling of 2240231224 in words is "two billion, two hundred forty million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 251 308 502 616 1004 1757 2008 2761 3514 5522 7028 11044 14056 14489 19327 22088 28978 38654 57956 77308 101423 115912 154616 159379 202846 318758 405692 637516 811384 1115653 1275032 2231306 3636739 4462612 7273478 8925224 14546956 25457173 29093912 40004129 50914346 80008258 101828692 160016516 203657384 280028903 320033032 560057806 1120115612 2240231224