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212203112 = 231117831709
BaseRepresentation
bin11001010010111…
…11011001101000
3112210022000221112
430221133121220
5413310444422
633020125452
75154460652
oct1451373150
9483260845
10212203112
11a9868380
125b096888
1334c6a894
142027b6d2
1513969ee2
hexca5f668

212203112 has 64 divisors (see below), whose sum is σ = 465393600. Its totient is φ = 89635840.

The previous prime is 212203097. The next prime is 212203139. The reversal of 212203112 is 211302212.

It is a happy number.

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, 123314 + ... + 125022.

It is an arithmetic number, because the mean of its divisors is an integer number (7271775).

Almost surely, 2212203112 is an apocalyptic number.

212203112 is a gapful number since it is divisible by the number (22) 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 212203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232696800).

212203112 is an abundant number, since it is smaller than the sum of its proper divisors (253190488).

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

212203112 is a wasteful number, since it uses less digits than its factorization.

212203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 212203112 is about 14567.1930034581. The cubic root of 212203112 is about 596.4635599007.

Adding to 212203112 its reverse (211302212), we get a palindrome (423505324).

The spelling of 212203112 in words is "two hundred twelve million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 83 88 136 166 187 332 374 664 748 913 1411 1496 1709 1826 2822 3418 3652 5644 6836 7304 11288 13672 15521 18799 29053 31042 37598 58106 62084 75196 116212 124168 141847 150392 232424 283694 319583 567388 639166 1134776 1278332 1560317 2411399 2556664 3120634 4822798 6241268 9645596 12482536 19291192 26525389 53050778 106101556 212203112