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212200212 = 22376141413
BaseRepresentation
bin11001010010111…
…10101100010100
3112210021212222010
430221132230110
5413310401322
633020104220
75154446340
oct1451365424
9483255863
10212200212
11a9866184
125b095070
1334c69473
142027a620
151396920c
hexca5eb14

212200212 has 48 divisors (see below), whose sum is σ = 575157632. Its totient is φ = 59633280.

The previous prime is 212200211. The next prime is 212200223. The reversal of 212200212 is 212002212.

212200212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15583 + ... + 25830.

Almost surely, 2212200212 is an apocalyptic number.

It is an amenable number.

212200212 is an abundant number, since it is smaller than the sum of its proper divisors (362957420).

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

212200212 is a wasteful number, since it uses less digits than its factorization.

212200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41488 (or 41486 counting only the distinct ones).

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

The square root of 212200212 is about 14567.0934643806. The cubic root of 212200212 is about 596.4608427677.

Adding to 212200212 its reverse (212002212), we get a palindrome (424202424).

The spelling of 212200212 in words is "two hundred twelve million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 41413 82826 124239 165652 248478 289891 496956 579782 869673 1159564 1739346 2526193 3478692 5052386 7578579 10104772 15157158 17683351 30314316 35366702 53050053 70733404 106100106 212200212