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212323100 = 2252111910159
BaseRepresentation
bin11001010011111…
…00101100011100
3112210112010112112
430221330230130
5413323314400
633022453152
75155500533
oct1451745434
9483463475
10212323100
11a993a540
125b1341b8
1334cb0392
14202ad31a
1513990835
hexca7cb1c

212323100 has 72 divisors (see below), whose sum is σ = 529132800. Its totient is φ = 73137600.

The previous prime is 212323093. The next prime is 212323103. The reversal of 212323100 is 1323212.

It is a happy number.

It is a super-2 number, since 2×2123231002 = 90162197587220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212323103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15821 + ... + 25979.

Almost surely, 2212323100 is an apocalyptic number.

212323100 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 212323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264566400).

212323100 is an abundant number, since it is smaller than the sum of its proper divisors (316809700).

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

212323100 is a wasteful number, since it uses less digits than its factorization.

212323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 212323100 is about 14571.3108538662. The cubic root of 212323100 is about 596.5759600503.

Adding to 212323100 its reverse (1323212), we get a palindrome (213646312).

The spelling of 212323100 in words is "two hundred twelve million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10159 10450 20318 20900 40636 50795 101590 111749 193021 203180 223498 253975 386042 446996 507950 558745 772084 965105 1015900 1117490 1930210 2123231 2234980 2793725 3860420 4246462 4825525 5587450 8492924 9651050 10616155 11174900 19302100 21232310 42464620 53080775 106161550 212323100