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141214224 = 24329229443
BaseRepresentation
bin10000110101011…
…00001000010000
3100211201102111110
420122230020100
5242122323344
622002413320
73333205164
oct1032541020
9324642443
10141214224
1172791378
123b361240
1323343c18
1414a7cca4
15c5e63b9
hex86ac210

141214224 has 80 divisors (see below), whose sum is σ = 379886400. Its totient is φ = 45147648.

The previous prime is 141214219. The next prime is 141214259. The reversal of 141214224 is 422412141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141214224.

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, 318547 + ... + 318989.

It is an arithmetic number, because the mean of its divisors is an integer number (4748580).

Almost surely, 2141214224 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 141214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189943200).

141214224 is an abundant number, since it is smaller than the sum of its proper divisors (238672176).

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

141214224 is a wasteful number, since it uses less digits than its factorization.

141214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 141214224 is about 11883.3591210566. The cubic root of 141214224 is about 520.7462461126.

Adding to 141214224 its reverse (422412141), we get a palindrome (563626365).

The spelling of 141214224 in words is "one hundred forty-one million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 229 232 348 443 458 464 687 696 886 916 1329 1374 1392 1772 1832 2658 2748 3544 3664 5316 5496 6641 7088 10632 10992 12847 13282 19923 21264 25694 26564 38541 39846 51388 53128 77082 79692 101447 102776 106256 154164 159384 202894 205552 304341 308328 318768 405788 608682 616656 811576 1217364 1623152 2434728 2941963 4869456 5883926 8825889 11767852 17651778 23535704 35303556 47071408 70607112 141214224