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2212213024 = 25759732293
BaseRepresentation
bin1000001111011011…
…1011000100100000
312201011200001202201
42003312323010200
514012311304044
61003303222544
7105551333440
oct20366730440
95634601681
102212213024
11a3581142a
12518a47a54
132934195b8
1416db3a120
15ce3307d4
hex83dbb120

2212213024 has 96 divisors (see below), whose sum is σ = 5133421440. Its totient is φ = 918853632.

The previous prime is 2212212991. The next prime is 2212213033. The reversal of 2212213024 is 4203122122.

It is a junction number, because it is equal to n+sod(n) for n = 2212212992 and 2212213010.

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, 963622 + ... + 965914.

It is an arithmetic number, because the mean of its divisors is an integer number (53473140).

Almost surely, 22212213024 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 2212213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566710720).

2212213024 is an abundant number, since it is smaller than the sum of its proper divisors (2921208416).

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

2212213024 is a wasteful number, since it uses less digits than its factorization.

2212213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2212213024 is about 47034.1686861796. The cubic root of 2212213024 is about 1302.9936971404.

Adding to 2212213024 its reverse (4203122122), we get a palindrome (6415335146).

The spelling of 2212213024 in words is "two billion, two hundred twelve million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 73 112 118 146 224 236 292 413 472 511 584 826 944 1022 1168 1652 1888 2044 2293 2336 3304 4088 4307 4586 6608 8176 8614 9172 13216 16051 16352 17228 18344 30149 32102 34456 36688 60298 64204 68912 73376 120596 128408 135287 137824 167389 241192 256816 270574 334778 482384 513632 541148 669556 947009 964768 1082296 1171723 1339112 1894018 2164592 2343446 2678224 3788036 4329184 4686892 5356448 7576072 9373784 9875951 15152144 18747568 19751902 30304288 37495136 39503804 69131657 79007608 138263314 158015216 276526628 316030432 553053256 1106106512 2212213024