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2210024112 = 243299291709
BaseRepresentation
bin1000001110111010…
…0100101010110000
312201000112212010220
42003232210222300
514011231232422
61003144253040
7105523615662
oct20356445260
95630485126
102210024112
11a3455690a
12518171180
13292b3119a
1416d72a532
15ce04be5c
hex83ba4ab0

2210024112 has 80 divisors (see below), whose sum is σ = 5915916000. Its totient is φ = 710090752.

The previous prime is 2210024111. The next prime is 2210024143. The reversal of 2210024112 is 2114200122.

It is a junction number, because it is equal to n+sod(n) for n = 2210024091 and 2210024100.

It is not an unprimeable number, because it can be changed into a prime (2210024111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292314 + ... + 1294022.

It is an arithmetic number, because the mean of its divisors is an integer number (73948950).

Almost surely, 22210024112 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 2210024112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957958000).

2210024112 is an abundant number, since it is smaller than the sum of its proper divisors (3705891888).

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

2210024112 is a wasteful number, since it uses less digits than its factorization.

2210024112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2210024112 is about 47010.8935460708. The cubic root of 2210024112 is about 1302.5637988553.

Adding to 2210024112 its reverse (2114200122), we get a palindrome (4324224234).

The spelling of 2210024112 in words is "two billion, two hundred ten million, twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 929 1392 1709 1858 2787 3418 3716 5127 5574 6836 7432 10254 11148 13672 14864 20508 22296 26941 27344 41016 44592 49561 53882 80823 82032 99122 107764 148683 161646 198244 215528 297366 323292 396488 431056 594732 646584 792976 1189464 1293168 1587661 2378928 3175322 4762983 6350644 9525966 12701288 19051932 25402576 38103864 46042169 76207728 92084338 138126507 184168676 276253014 368337352 552506028 736674704 1105012056 2210024112