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2243443104 = 253274723677
BaseRepresentation
bin1000010110111000…
…0011100110100000
312210100102201101100
42011232003212200
514043310134404
61010340434400
7106410644310
oct20556034640
95710381340
102243443104
11a51402011
125273a8a00
13299a32436
14173d49440
15d1e4dd39
hex85b839a0

2243443104 has 144 divisors (see below), whose sum is σ = 7446636288. Its totient is φ = 627319296.

The previous prime is 2243443073. The next prime is 2243443117. The reversal of 2243443104 is 4013443422.

It is a happy number.

2243443104 is a `hidden beast` number, since 2 + 2 + 4 + 344 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82914 + ... + 106590.

It is an arithmetic number, because the mean of its divisors is an integer number (51712752).

Almost surely, 22243443104 is an apocalyptic number.

2243443104 is a gapful number since it is divisible by the number (24) 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 2243443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723318144).

2243443104 is an abundant number, since it is smaller than the sum of its proper divisors (5203193184).

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

2243443104 is a wasteful number, since it uses less digits than its factorization.

2243443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23747 (or 23736 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2243443104 is about 47364.9987226855. The cubic root of 2243443104 is about 1309.0965750176.

Adding to 2243443104 its reverse (4013443422), we get a palindrome (6256886526).

The spelling of 2243443104 in words is "two billion, two hundred forty-three million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 10528 11844 13536 15792 23677 23688 31584 47354 47376 71031 94708 94752 142062 165739 189416 213093 284124 331478 378832 426186 497217 568248 662956 757664 852372 994434 1112819 1136496 1325912 1491651 1704744 1988868 2225638 2272992 2651824 2983302 3338457 3409488 3977736 4451276 5303648 5966604 6676914 6818976 7789733 7955472 8902552 10015371 11933208 13353828 15579466 15910944 17805104 20030742 23369199 23866416 26707656 31158932 35610208 40061484 46738398 47732832 53415312 62317864 70107597 80122968 93476796 106830624 124635728 140215194 160245936 186953592 249271456 280430388 320491872 373907184 560860776 747814368 1121721552 2243443104