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212243112 = 233329311093
BaseRepresentation
bin11001010011010…
…01001010101000
3112210101001211000
430221221022220
5413313234422
633021035000
75155015404
oct1451511250
9483331730
10212243112
11a9895434
125b0b5a60
1334c82b53
142028c104
1513976cac
hexca692a8

212243112 has 128 divisors (see below), whose sum is σ = 630144000. Its totient is φ = 66044160.

The previous prime is 212243107. The next prime is 212243153. The reversal of 212243112 is 211342212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193638 + ... + 194730.

It is an arithmetic number, because the mean of its divisors is an integer number (4923000).

Almost surely, 2212243112 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 212243112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315072000).

212243112 is an abundant number, since it is smaller than the sum of its proper divisors (417900888).

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

212243112 is a wasteful number, since it uses less digits than its factorization.

212243112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212243112 is about 14568.5658868675. The cubic root of 212243112 is about 596.5010350712.

Adding to 212243112 its reverse (211342212), we get a palindrome (423585324).

It can be divided in two parts, 21224 and 3112, that added together give a square (24336 = 1562).

The spelling of 212243112 in words is "two hundred twelve million, two hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 87 93 108 116 124 174 186 216 232 248 261 279 348 372 522 558 696 744 783 837 899 1044 1093 1116 1566 1674 1798 2088 2186 2232 2697 3132 3279 3348 3596 4372 5394 6264 6558 6696 7192 8091 8744 9837 10788 13116 16182 19674 21576 24273 26232 29511 31697 32364 33883 39348 48546 59022 63394 64728 67766 78696 95091 97092 101649 118044 126788 135532 190182 194184 203298 236088 253576 271064 285273 304947 380364 406596 570546 609894 760728 813192 855819 914841 982607 1141092 1219788 1711638 1829682 1965214 2282184 2439576 2947821 3423276 3659364 3930428 5895642 6846552 7318728 7860856 8843463 11791284 17686926 23582568 26530389 35373852 53060778 70747704 106121556 212243112