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2212001220 = 223511131032503
BaseRepresentation
bin1000001111011000…
…0111010111000100
312201011021022020010
42003312013113010
514012233014340
61003254510220
7105546462102
oct20366072704
95634238203
102212001220
11a35687290
12518965370
13293374080
1416dac2c72
15ce2dcb80
hex83d875c4

2212001220 has 192 divisors, whose sum is σ = 7349981184. Its totient is φ = 489991680.

The previous prime is 2212001203. The next prime is 2212001293. The reversal of 2212001220 is 221002122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2212001196 and 2212001205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 882489 + ... + 884991.

It is an arithmetic number, because the mean of its divisors is an integer number (38281152).

Almost surely, 22212001220 is an apocalyptic number.

2212001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674990592).

2212001220 is an abundant number, since it is smaller than the sum of its proper divisors (5137979964).

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

2212001220 is a wasteful number, since it uses less digits than its factorization.

2212001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2212001220 is about 47031.9170351369. The cubic root of 2212001220 is about 1302.9521116206.

Adding to 2212001220 its reverse (221002122), we get a palindrome (2433003342).

The spelling of 2212001220 in words is "two billion, two hundred twelve million, one thousand, two hundred twenty".