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212221224 = 23322947517
BaseRepresentation
bin11001010011000…
…11110100101000
3112210022221210100
430221203310220
5413312034344
633020345400
75154564525
oct1451436450
9483287710
10212221224
11a987aa46
125b0a5260
1334c75bb7
142028414c
1513970569
hexca63d28

212221224 has 24 divisors (see below), whose sum is σ = 574766010. Its totient is φ = 70740384.

The previous prime is 212221223. The next prime is 212221237. The reversal of 212221224 is 422122212.

It can be written as a sum of positive squares in only one way, i.e., 182736324 + 29484900 = 13518^2 + 5430^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 a junction number, because it is equal to n+sod(n) for n = 212221197 and 212221206.

It is not an unprimeable number, because it can be changed into a prime (212221223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1473687 + ... + 1473830.

Almost surely, 2212221224 is an apocalyptic number.

212221224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212221224 is an abundant number, since it is smaller than the sum of its proper divisors (362544786).

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

212221224 is a wasteful number, since it uses less digits than its factorization.

212221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947529 (or 2947522 counting only the distinct ones).

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

The square root of 212221224 is about 14567.8146610945. The cubic root of 212221224 is about 596.4805292413.

Adding to 212221224 its reverse (422122212), we get a palindrome (634343436).

The spelling of 212221224 in words is "two hundred twelve million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2947517 5895034 8842551 11790068 17685102 23580136 26527653 35370204 53055306 70740408 106110612 212221224