Search a number
-
+
18802224 = 2432723811
BaseRepresentation
bin100011110111…
…0011000110000
31022101020210200
41013232120300
514303132344
61510555200
7315546660
oct107563060
938336720
1018802224
11a682431
126368b00
133b8419c
1426d61a0
1519b6069
hex11ee630

18802224 has 120 divisors (see below), whose sum is σ = 62829312. Its totient is φ = 5132160.

The previous prime is 18802207. The next prime is 18802279. The reversal of 18802224 is 42220881.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22779 + ... + 23589.

Almost surely, 218802224 is an apocalyptic number.

18802224 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 18802224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31414656).

18802224 is an abundant number, since it is smaller than the sum of its proper divisors (44027088).

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

18802224 is a wasteful number, since it uses less digits than its factorization.

18802224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18802224 is about 4336.1531338273. The cubic root of 18802224 is about 265.9110637911.

The spelling of 18802224 in words is "eighteen million, eight hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 811 828 966 1008 1104 1288 1449 1622 1656 1932 2433 2576 2898 3244 3312 3864 4866 5677 5796 6488 7299 7728 9732 11354 11592 12976 14598 17031 18653 19464 22708 23184 29196 34062 37306 38928 45416 51093 55959 58392 68124 74612 90832 102186 111918 116784 130571 136248 149224 167877 204372 223836 261142 272496 298448 335754 391713 408744 447672 522284 671508 783426 817488 895344 1044568 1175139 1343016 1566852 2089136 2350278 2686032 3133704 4700556 6267408 9401112 18802224