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2244043104224 = 25232971366639
BaseRepresentation
bin100000101001111011011…
…001000101111111100000
321221112021020000001021212
4200221323121011333200
5243231300013313344
64434522115405252
7321061323443525
oct40517331057740
97845236001255
102244043104224
11795769915079
12302ab15b3828
131337c6469c5c
147a8800b314c
153d58cd7579e
hex20a7b645fe0

2244043104224 has 72 divisors (see below), whose sum is σ = 4666012354080. Its totient is φ = 1062172919808.

The previous prime is 2244043104217. The next prime is 2244043104239. The reversal of 2244043104224 is 4224013404422.

2244043104224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22440431042242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958697 + ... + 2325335.

It is an arithmetic number, because the mean of its divisors is an integer number (64805727140).

Almost surely, 22244043104224 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 2244043104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333006177040).

2244043104224 is an abundant number, since it is smaller than the sum of its proper divisors (2421969249856).

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

2244043104224 is a wasteful number, since it uses less digits than its factorization.

2244043104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366792 (or 1366761 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 2244043104224 its reverse (4224013404422), we get a palindrome (6468056508646).

The spelling of 2244043104224 in words is "two trillion, two hundred forty-four billion, forty-three million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 97 184 194 368 388 529 736 776 1058 1552 2116 2231 3104 4232 4462 8464 8924 16928 17848 35696 51313 71392 102626 205252 410504 821008 1366639 1642016 2733278 5466556 10933112 21866224 31432697 43732448 62865394 125730788 132563983 251461576 265127966 502923152 530255932 722952031 1005846304 1060511864 1445904062 2121023728 2891808124 3048971609 4242047456 5783616248 6097943218 11567232496 12195886436 23134464992 24391772872 48783545744 70126347007 97567091488 140252694014 280505388028 561010776056 1122021552112 2244043104224