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2421324224 = 261121132767
BaseRepresentation
bin1001000001010010…
…0111100111000000
320020202011000101222
42100110213213000
514424324333344
61040133214212
7114000626204
oct22024474700
96222130358
102421324224
111032857800
12576a91368
132c7843a37
1418d810b04
15e28895ee
hex905279c0

2421324224 has 84 divisors (see below), whose sum is σ = 5329988832. Its totient is φ = 1090467840.

The previous prime is 2421324211. The next prime is 2421324247. The reversal of 2421324224 is 4224231242.

It is a junction number, because it is equal to n+sod(n) for n = 2421324193 and 2421324202.

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, 873689 + ... + 876455.

It is an arithmetic number, because the mean of its divisors is an integer number (63452248).

Almost surely, 22421324224 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 2421324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664994416).

2421324224 is an abundant number, since it is smaller than the sum of its proper divisors (2908664608).

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

2421324224 is a wasteful number, since it uses less digits than its factorization.

2421324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2893 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 2421324224 is about 49206.9530046314. The cubic root of 2421324224 is about 1342.8195298870.

Adding to 2421324224 its reverse (4224231242), we get a palindrome (6645555466).

The spelling of 2421324224 in words is "two billion, four hundred twenty-one million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 121 176 226 242 352 452 484 704 904 968 1243 1808 1936 2486 2767 3616 3872 4972 5534 7232 7744 9944 11068 13673 19888 22136 27346 30437 39776 44272 54692 60874 79552 88544 109384 121748 177088 218768 243496 312671 334807 437536 486992 625342 669614 875072 973984 1250684 1339228 1947968 2501368 2678456 3439381 5002736 5356912 6878762 10005472 10713824 13757524 20010944 21427648 27515048 37833191 55030096 75666382 110060192 151332764 220120384 302665528 605331056 1210662112 2421324224