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2246012416 = 2929331457
BaseRepresentation
bin1000010111011111…
…0110111000000000
312210112021020211001
42011313312320000
514044434344131
61010511501344
7106441535104
oct20567667000
95715236731
102246012416
11a528a740a
12528227854
1329a421a3b
14174417904
15d22aa261
hex85df6e00

2246012416 has 80 divisors (see below), whose sum is σ = 4666598640. Its totient is φ = 1078640640.

The previous prime is 2246012411. The next prime is 2246012449. The reversal of 2246012416 is 6142106422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246012411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4914460 + ... + 4914916.

It is an arithmetic number, because the mean of its divisors is an integer number (58332483).

Almost surely, 22246012416 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 2246012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333299320).

2246012416 is an abundant number, since it is smaller than the sum of its proper divisors (2420586224).

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

2246012416 is an equidigital number, since it uses as much as digits as its factorization.

2246012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2246012416 is about 47392.1134367312. The cubic root of 2246012416 is about 1309.5961336852.

Adding to 2246012416 its reverse (6142106422), we get a palindrome (8388118838).

The spelling of 2246012416 in words is "two billion, two hundred forty-six million, twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 331 457 464 512 662 914 928 1324 1828 1856 2648 3656 3712 5296 7312 7424 9599 10592 13253 14624 14848 19198 21184 26506 29248 38396 42368 53012 58496 76792 84736 106024 116992 151267 153584 169472 212048 233984 302534 307168 424096 605068 614336 848192 1210136 1228672 1696384 2420272 2457344 3392768 4386743 4840544 4914688 6785536 8773486 9681088 17546972 19362176 35093944 38724352 70187888 77448704 140375776 280751552 561503104 1123006208 2246012416