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2242002112 = 26743181643
BaseRepresentation
bin1000010110100010…
…0011110011000000
312210020201111201021
42011220203303000
514042423031422
61010245515224
7106362463210
oct20550436300
95706644637
102242002112
11a50608409
12526a12b14
1329964958c
14173a92240
15d1c66dc7
hex85a23cc0

2242002112 has 112 divisors (see below), whose sum is σ = 5239666432. Its totient is φ = 931875840.

The previous prime is 2242002101. The next prime is 2242002187. The reversal of 2242002112 is 2112002422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 3486463 + ... + 3487105.

It is an arithmetic number, because the mean of its divisors is an integer number (46782736).

Almost surely, 22242002112 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 2242002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619833216).

2242002112 is an abundant number, since it is smaller than the sum of its proper divisors (2997664320).

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

2242002112 is a wasteful number, since it uses less digits than its factorization.

2242002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2242002112 is about 47349.7847091199. The cubic root of 2242002112 is about 1308.8162318673.

Adding to 2242002112 its reverse (2112002422), we get a palindrome (4354004534).

The spelling of 2242002112 in words is "two billion, two hundred forty-two million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 181 224 301 344 362 448 602 643 688 724 1204 1267 1286 1376 1448 2408 2534 2572 2752 2896 4501 4816 5068 5144 5792 7783 9002 9632 10136 10288 11584 15566 18004 19264 20272 20576 27649 31132 36008 40544 41152 54481 55298 62264 72016 81088 108962 110596 116383 124528 144032 193543 217924 221192 232766 249056 288064 387086 435848 442384 465532 498112 774172 814681 871696 884768 931064 1548344 1629362 1743392 1769536 1862128 3096688 3258724 3486784 3724256 5004469 6193376 6517448 7448512 10008938 12386752 13034896 20017876 26069792 35031283 40035752 52139584 70062566 80071504 140125132 160143008 280250264 320286016 560500528 1121001056 2242002112