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2244214720 = 265114314827
BaseRepresentation
bin1000010111000011…
…1111111111000000
312210101212220211201
42011300333333000
514044004332340
61010405150544
7106420340026
oct20560777700
95711786751
102244214720
11a51889810
125276bb454
13299c42707
141740aa716
15d205279a
hex85c3ffc0

2244214720 has 112 divisors (see below), whose sum is σ = 5965838208. Its totient is φ = 797045760.

The previous prime is 2244214711. The next prime is 2244214729. The reversal of 2244214720 is 274124422.

It is an interprime number because it is at equal distance from previous prime (2244214711) and next prime (2244214729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244214729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143947 + ... + 158773.

Almost surely, 22244214720 is an apocalyptic number.

2244214720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982919104).

2244214720 is an abundant number, since it is smaller than the sum of its proper divisors (3721623488).

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

2244214720 is a wasteful number, since it uses less digits than its factorization.

2244214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898 (or 14888 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 2244214720 is about 47373.1434464719. The cubic root of 2244214720 is about 1309.2466425745.

The spelling of 2244214720 in words is "two billion, two hundred forty-four million, two hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 160 172 176 215 220 320 344 352 430 440 473 688 704 860 880 946 1376 1720 1760 1892 2365 2752 3440 3520 3784 4730 6880 7568 9460 13760 14827 15136 18920 29654 30272 37840 59308 74135 75680 118616 148270 151360 163097 237232 296540 326194 474464 593080 637561 652388 815485 948928 1186160 1275122 1304776 1630970 2372320 2550244 2609552 3187805 3261940 4744640 5100488 5219104 6375610 6523880 7013171 10200976 10438208 12751220 13047760 14026342 20401952 25502440 26095520 28052684 35065855 40803904 51004880 52191040 56105368 70131710 102009760 112210736 140263420 204019520 224421472 280526840 448842944 561053680 1122107360 2244214720