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212210244 = 223237313509
BaseRepresentation
bin11001010011000…
…01001001000100
3112210022101201200
430221201021010
5413311211434
633020222500
75154520521
oct1451411104
9483271650
10212210244
11a9872774
125b09aa30
1334c70bbc
1420280148
151396c199
hexca61244

212210244 has 72 divisors (see below), whose sum is σ = 553764120. Its totient is φ = 68470272.

The previous prime is 212210237. The next prime is 212210249. The reversal of 212210244 is 442012212.

212210244 is a `hidden beast` number, since 212 + 210 + 244 = 666.

212210244 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37970244 + 174240000 = 6162^2 + 13200^2 .

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

212210244 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (212210249) 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, 416662 + ... + 417170.

Almost surely, 2212210244 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 212210244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276882060).

212210244 is an abundant number, since it is smaller than the sum of its proper divisors (341553876).

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

212210244 is a wasteful number, since it uses less digits than its factorization.

212210244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212210244 is about 14567.4377980481. The cubic root of 212210244 is about 596.4702420685.

Adding to 212210244 its reverse (442012212), we get a palindrome (654222456).

The spelling of 212210244 in words is "two hundred twelve million, two hundred ten thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 313 333 444 509 626 666 939 1018 1252 1332 1527 1878 2036 2817 3054 3756 4581 5634 6108 9162 11268 11581 18324 18833 23162 34743 37666 46324 56499 69486 75332 104229 112998 138972 159317 169497 208458 225996 318634 338994 416916 477951 637268 677988 955902 1433853 1911804 2867706 5735412 5894729 11789458 17684187 23578916 35368374 53052561 70736748 106105122 212210244