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212041221 = 37175910067
BaseRepresentation
bin11001010001101…
…11111000000101
3112202222210212120
430220313320011
5413240304341
633012440153
75153214660
oct1450677005
9482883776
10212041221
11a9767787
125b019059
1334c11ca2
14202386d7
1513937066
hexca37e05

212041221 has 32 divisors (see below), whose sum is σ = 347950080. Its totient is φ = 112094976.

The previous prime is 212041201. The next prime is 212041231. The reversal of 212041221 is 122140212.

212041221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212041221 - 29 = 212040709 is a prime.

It is a super-2 number, since 2×2120412212 = 89922958806341682, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212041221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212041201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16030 + ... + 26096.

It is an arithmetic number, because the mean of its divisors is an integer number (10873440).

Almost surely, 2212041221 is an apocalyptic number.

212041221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212041221 is a deficient number, since it is larger than the sum of its proper divisors (135908859).

212041221 is a wasteful number, since it uses less digits than its factorization.

212041221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10153.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212041221 is about 14561.6352447107. The cubic root of 212041221 is about 596.3118394608.

Adding to 212041221 its reverse (122140212), we get a palindrome (334181433).

The spelling of 212041221 in words is "two hundred twelve million, forty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 17 21 51 59 119 177 357 413 1003 1239 3009 7021 10067 21063 30201 70469 171139 211407 513417 593953 1197973 1781859 3593919 4157671 10097201 12473013 30291603 70680407 212041221