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2112206472 = 2332234572791
BaseRepresentation
bin111110111100101…
…1011011010001000
312110012111012120100
41331321123122020
513311211101342
6545331525400
7103225313235
oct17571333210
95405435510
102112206472
11994315a92
124ab459860
132787a2b1c
1416074678c
15c5678e4c
hex7de5b688

2112206472 has 96 divisors (see below), whose sum is σ = 5984484480. Its totient is φ = 671742720.

The previous prime is 2112206401. The next prime is 2112206479. The reversal of 2112206472 is 2746022112.

2112206472 is a `hidden beast` number, since 2 + 1 + 12 + 2 + 0 + 647 + 2 = 666.

It is a super-2 number, since 2×21122064722 = 8922832360717373568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112206479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755397 + ... + 758187.

It is an arithmetic number, because the mean of its divisors is an integer number (62338380).

Almost surely, 22112206472 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 2112206472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992242240).

2112206472 is an abundant number, since it is smaller than the sum of its proper divisors (3872278008).

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

2112206472 is a wasteful number, since it uses less digits than its factorization.

2112206472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2112206472 is about 45958.7475025158. The cubic root of 2112206472 is about 1283.0555403599.

Adding to 2112206472 its reverse (2746022112), we get a palindrome (4858228584).

The spelling of 2112206472 in words is "two billion, one hundred twelve million, two hundred six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 457 552 828 914 1371 1656 1828 2742 2791 3656 4113 5484 5582 8226 8373 10511 10968 11164 16452 16746 21022 22328 25119 31533 32904 33492 42044 50238 63066 64193 66984 84088 94599 100476 126132 128386 189198 192579 200952 252264 256772 378396 385158 513544 577737 756792 770316 1155474 1275487 1540632 2310948 2550974 3826461 4621896 5101948 7652922 10203896 11479383 15305844 22958766 29336201 30611688 45917532 58672402 88008603 91835064 117344804 176017206 234689608 264025809 352034412 528051618 704068824 1056103236 2112206472