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81214224 = 24371318593
BaseRepresentation
bin1001101011100…
…11101100010000
312122211002222020
410311303230100
5131242323344
612020411440
72004211110
oct465635420
9178732866
1081214224
11419304a3
1223246b80
1313a96c70
14ab01040
1571e3719
hex4d73b10

81214224 has 80 divisors (see below), whose sum is σ = 258233472. Its totient is φ = 21417984.

The previous prime is 81214213. The next prime is 81214279. The reversal of 81214224 is 42241218.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 81214194 and 81214203.

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, 4929 + ... + 13664.

Almost surely, 281214224 is an apocalyptic number.

81214224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81214224 is an abundant number, since it is smaller than the sum of its proper divisors (177019248).

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

81214224 is a wasteful number, since it uses less digits than its factorization.

81214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18624 (or 18618 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 81214224 is about 9011.8934747366. The cubic root of 81214224 is about 433.0559729373.

The spelling of 81214224 in words is "eighty-one million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 18593 37186 55779 74372 111558 130151 148744 223116 241709 260302 297488 390453 446232 483418 520604 725127 780906 892464 966836 1041208 1450254 1561812 1691963 1933672 2082416 2900508 3123624 3383926 3867344 5075889 5801016 6247248 6767852 10151778 11602032 13535704 20303556 27071408 40607112 81214224