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18970224 = 24371343101
BaseRepresentation
bin100100001011…
…1011001110000
31022200210020220
41020113121300
514324021344
61514333040
7320146530
oct110273160
938623226
1018970224
11a787679
12642a180
133c127b0
14273b4c0
1519eac19
hex1217670

18970224 has 160 divisors (see below), whose sum is σ = 62329344. Its totient is φ = 4838400.

The previous prime is 18970223. The next prime is 18970229. The reversal of 18970224 is 42207981.

It is a happy number.

It is a super-2 number, since 2×189702242 = 719738797220352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18970223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187774 + ... + 187874.

Almost surely, 218970224 is an apocalyptic number.

18970224 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 18970224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31164672).

18970224 is an abundant number, since it is smaller than the sum of its proper divisors (43359120).

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

18970224 is a wasteful number, since it uses less digits than its factorization.

18970224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 18970224 is about 4355.4820628720. The cubic root of 18970224 is about 266.7006984345.

The spelling of 18970224 in words is "eighteen million, nine hundred seventy thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 43 48 52 56 78 84 86 91 101 104 112 129 156 168 172 182 202 208 258 273 301 303 312 336 344 364 404 516 546 559 602 606 624 688 707 728 808 903 1032 1092 1118 1204 1212 1313 1414 1456 1616 1677 1806 2064 2121 2184 2236 2408 2424 2626 2828 3354 3612 3913 3939 4242 4343 4368 4472 4816 4848 5252 5656 6708 7224 7826 7878 8484 8686 8944 9191 10504 11312 11739 13029 13416 14448 15652 15756 16968 17372 18382 21008 23478 26058 26832 27573 30401 31304 31512 33936 34744 36764 46956 52116 55146 56459 60802 62608 63024 69488 73528 91203 93912 104232 110292 112918 121604 147056 169377 182406 187824 208464 220584 225836 243208 338754 364812 395213 441168 451672 486416 677508 729624 790426 903344 1185639 1355016 1459248 1580852 2371278 2710032 3161704 4742556 6323408 9485112 18970224