Search a number
-
+
2212211120 = 245716212437
BaseRepresentation
bin1000001111011011…
…1010100110110000
312201011122222011012
42003312322212300
514012311223440
61003303210052
7105551325050
oct20366724660
95634588135
102212211120
11a3580aa59
12518a46928
13293418782
1416db39560
15ce32ee65
hex83dba9b0

2212211120 has 80 divisors (see below), whose sum is σ = 5884200768. Its totient is φ = 757693440.

The previous prime is 2212211107. The next prime is 2212211123. The reversal of 2212211120 is 211122122.

2212211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2212211095 and 2212211104.

It is not an unprimeable number, because it can be changed into a prime (2212211123) 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, 906542 + ... + 908978.

Almost surely, 22212211120 is an apocalyptic number.

2212211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212211120 is an abundant number, since it is smaller than the sum of its proper divisors (3671989648).

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

2212211120 is a wasteful number, since it uses less digits than its factorization.

2212211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2212211120 is about 47034.1484455709. The cubic root of 2212211120 is about 1302.9933233216.

Adding to 2212211120 its reverse (211122122), we get a palindrome (2423333242).

The spelling of 2212211120 in words is "two billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1621 2437 3242 4874 6484 8105 9748 11347 12185 12968 16210 17059 19496 22694 24370 25936 32420 34118 38992 45388 48740 56735 64840 68236 85295 90776 97480 113470 129680 136472 170590 181552 194960 226940 272944 341180 453880 682360 907760 1364720 3950377 7900754 15801508 19751885 27652639 31603016 39503770 55305278 63206032 79007540 110610556 138263195 158015080 221221112 276526390 316030160 442442224 553052780 1106105560 2212211120