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2239004496 = 243435991811
BaseRepresentation
bin1000010101110100…
…0111111101010000
312210001002012202110
42011131013331100
514041141120441
61010101345320
7106325136621
oct20535077520
95701065673
102239004496
11a49950243
12525a08240
13298b3a041
14173511a48
15d1873b16
hex85747f50

2239004496 has 80 divisors (see below), whose sum is σ = 5931763200. Its totient is φ = 727359360.

The previous prime is 2239004473. The next prime is 2239004501. The reversal of 2239004496 is 6944009322.

2239004496 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-3 number, since 3×22390044963 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1235431 + ... + 1237241.

It is an arithmetic number, because the mean of its divisors is an integer number (74147040).

Almost surely, 22239004496 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 2239004496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965881600).

2239004496 is an abundant number, since it is smaller than the sum of its proper divisors (3692758704).

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

2239004496 is a wasteful number, since it uses less digits than its factorization.

2239004496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2239004496 is about 47318.1201655349. The cubic root of 2239004496 is about 1308.2326644258.

The spelling of 2239004496 in words is "two billion, two hundred thirty-nine million, four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 599 688 1032 1198 1797 1811 2064 2396 3594 3622 4792 5433 7188 7244 9584 10866 14376 14488 21732 25757 28752 28976 43464 51514 77271 77873 86928 103028 154542 155746 206056 233619 309084 311492 412112 467238 618168 622984 934476 1084789 1236336 1245968 1868952 2169578 3254367 3737904 4339156 6508734 8678312 13017468 17356624 26034936 46645927 52069872 93291854 139937781 186583708 279875562 373167416 559751124 746334832 1119502248 2239004496