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224211222 = 232234911103
BaseRepresentation
bin11010101110100…
…11000100010110
3120121220002222100
431113103010112
5424344224342
634125342530
75361523014
oct1527230426
9517802870
10224211222
1110561a234
1263107a46
13375b3481
1421ac58b4
1514a3ce4c
hexd5d3116

224211222 has 48 divisors (see below), whose sum is σ = 508405248. Its totient is φ = 71277360.

The previous prime is 224211167. The next prime is 224211223. The reversal of 224211222 is 222112422.

224211222 is a `hidden beast` number, since 22 + 421 + 1 + 222 = 666.

224211222 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 224211195 and 224211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224211223) 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, 202723 + ... + 203825.

It is an arithmetic number, because the mean of its divisors is an integer number (10591776).

Almost surely, 2224211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254202624).

224211222 is an abundant number, since it is smaller than the sum of its proper divisors (284194026).

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

224211222 is a wasteful number, since it uses less digits than its factorization.

224211222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1622 counting only the distinct ones).

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

The square root of 224211222 is about 14973.6843161595. The cubic root of 224211222 is about 607.5086255952.

Adding to 224211222 its reverse (222112422), we get a palindrome (446323644).

The spelling of 224211222 in words is "two hundred twenty-four million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 491 982 1103 1473 2206 2946 3309 4419 6618 8838 9927 11293 19854 22586 25369 33879 50738 67758 76107 101637 152214 203274 228321 456642 541573 1083146 1624719 3249438 4874157 9748314 12456179 24912358 37368537 74737074 112105611 224211222