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2245522112 = 26174171709
BaseRepresentation
bin1000010111010111…
…1111001011000000
312210111100100020122
42011311333023000
514044323201422
61010453155412
7106434423461
oct20565771300
95714310218
102245522112
11a525a1aa9
1252802bb68
1329a2ac812
1417432ad68
15d220ed42
hex85d7f2c0

2245522112 has 112 divisors (see below), whose sum is σ = 4908133440. Its totient is φ = 1014988800.

The previous prime is 2245522109. The next prime is 2245522157. The reversal of 2245522112 is 2112255422.

2245522112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3166814 + ... + 3167522.

It is an arithmetic number, because the mean of its divisors is an integer number (43822620).

Almost surely, 22245522112 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 2245522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454066720).

2245522112 is an abundant number, since it is smaller than the sum of its proper divisors (2662611328).

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

2245522112 is a wasteful number, since it uses less digits than its factorization.

2245522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its digits is 3200, while the sum is 26.

The square root of 2245522112 is about 47386.9403105961. The cubic root of 2245522112 is about 1309.5008319039.

Adding to 2245522112 its reverse (2112255422), we get a palindrome (4357777534).

The spelling of 2245522112 in words is "two billion, two hundred forty-five million, five hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 71 82 136 142 164 272 284 328 544 568 656 697 709 1088 1136 1207 1312 1394 1418 2272 2414 2624 2788 2836 2911 4544 4828 5576 5672 5822 9656 11152 11344 11644 12053 19312 22304 22688 23288 24106 29069 38624 44608 45376 46576 48212 49487 50339 58138 77248 93152 96424 98974 100678 116276 186304 192848 197948 201356 232552 385696 395896 402712 465104 494173 771392 791792 805424 855763 930208 988346 1583584 1610848 1711526 1860416 1976692 2063899 3167168 3221696 3423052 3953384 4127798 6846104 7906768 8255596 13692208 15813536 16511192 27384416 31627072 33022384 35086283 54768832 66044768 70172566 132089536 140345132 280690264 561380528 1122761056 2245522112