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224442252 = 22342923887
BaseRepresentation
bin11010110000010…
…11011110001100
3120122022211220000
431120023132030
5424424123002
634134324300
75363504406
oct1530133614
9518284800
10224442252
11105767871
12631b9690
1337664688
1421b45b76
1514a8661c
hexd60b78c

224442252 has 60 divisors (see below), whose sum is σ = 606994080. Its totient is φ = 72231264.

The previous prime is 224442233. The next prime is 224442277. The reversal of 224442252 is 252244422.

224442252 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2548 + ... + 21339.

It is an arithmetic number, because the mean of its divisors is an integer number (10116568).

Almost surely, 2224442252 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 224442252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303497040).

224442252 is an abundant number, since it is smaller than the sum of its proper divisors (382551828).

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

224442252 is a wasteful number, since it uses less digits than its factorization.

224442252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23932 (or 23921 counting only the distinct ones).

The product of its digits is 10240, while the sum is 27.

The square root of 224442252 is about 14981.3968641112. The cubic root of 224442252 is about 607.7172154196.

Adding to 224442252 its reverse (252244422), we get a palindrome (476686674).

The spelling of 224442252 in words is "two hundred twenty-four million, four hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 23887 47774 71661 95548 143322 214983 286644 429966 644949 692723 859932 1289898 1385446 1934847 2078169 2579796 2770892 3869694 4156338 6234507 7739388 8312676 12469014 18703521 24938028 37407042 56110563 74814084 112221126 224442252