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12222224 = 247295371
BaseRepresentation
bin101110100111…
…111100010000
3211222221201222
4232213330100
511112102344
61113544212
7205613210
oct56477420
924887658
1012222224
116998813
124115068
1326bc1b1
1418a2240
1511165ee
hexba7f10

12222224 has 80 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 4892160.

The previous prime is 12222211. The next prime is 12222241. The reversal of 12222224 is 42222221.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 172109 + ... + 172179.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 212222224 is an apocalyptic number.

12222224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

12222224 is an abundant number, since it is smaller than the sum of its proper divisors (16704496).

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

12222224 is a wasteful number, since it uses less digits than its factorization.

12222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its digits is 256, while the sum is 17.

The square root of 12222224 is about 3496.0297481572. The cubic root of 12222224 is about 230.3474521687.

Adding to 12222224 its reverse (42222221), we get a palindrome (54444445).

The spelling of 12222224 in words is "twelve million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 53 56 58 71 106 112 116 142 203 212 232 284 371 406 424 464 497 568 742 812 848 994 1136 1484 1537 1624 1988 2059 2968 3074 3248 3763 3976 4118 5936 6148 7526 7952 8236 10759 12296 14413 15052 16472 21518 24592 26341 28826 30104 32944 43036 52682 57652 60208 86072 105364 109127 115304 172144 210728 218254 230608 421456 436508 763889 873016 1527778 1746032 3055556 6111112 12222224