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12142224 = 2437347
BaseRepresentation
bin101110010100…
…011010010000
3211211220000000
4232110122100
511102022344
61112130000
7205131033
oct56243220
924756000
1012142224
1169436a6
124096900
132691963
14188101a
1510eca69
hexb94690

12142224 has 80 divisors (see below), whose sum is σ = 35384640. Its totient is φ = 4035744.

The previous prime is 12142219. The next prime is 12142231. The reversal of 12142224 is 42224121.

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 = 12142197 and 12142206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34819 + ... + 35165.

It is an arithmetic number, because the mean of its divisors is an integer number (442308).

Almost surely, 212142224 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 12142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692320).

12142224 is an abundant number, since it is smaller than the sum of its proper divisors (23242416).

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

12142224 is an frugal number, since it uses more digits than its factorization.

12142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 352 counting only the distinct ones).

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

The square root of 12142224 is about 3484.5694138588. The cubic root of 12142224 is about 229.8437754480.

Adding to 12142224 its reverse (42224121), we get a palindrome (54366345).

The spelling of 12142224 in words is "twelve million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 347 432 486 648 694 729 972 1041 1296 1388 1458 1944 2082 2187 2776 2916 3123 3888 4164 4374 5552 5832 6246 8328 8748 9369 11664 12492 16656 17496 18738 24984 28107 34992 37476 49968 56214 74952 84321 112428 149904 168642 224856 252963 337284 449712 505926 674568 758889 1011852 1349136 1517778 2023704 3035556 4047408 6071112 12142224