Search a number
-
+
18222900 = 223521923139
BaseRepresentation
bin100010110000…
…0111100110100
31021021211010020
41011200330310
514131113100
61450325140
7310614663
oct105407464
937254106
1018222900
11a317153
1261297b0
133a105a7
1425c4dda
1518ee5a0
hex1160f34

18222900 has 144 divisors (see below), whose sum is σ = 58329600. Its totient is φ = 4371840.

The previous prime is 18222871. The next prime is 18222913. The reversal of 18222900 is 922281.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 131031 + ... + 131169.

Almost surely, 218222900 is an apocalyptic number.

18222900 is a gapful number since it is divisible by the number (10) 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 18222900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164800).

18222900 is an abundant number, since it is smaller than the sum of its proper divisors (40106700).

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

18222900 is a wasteful number, since it uses less digits than its factorization.

18222900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 18222900 is about 4268.8288792127. The cubic root of 18222900 is about 263.1514883353.

The spelling of 18222900 in words is "eighteen million, two hundred twenty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 25 30 38 46 50 57 60 69 75 76 92 95 100 114 115 138 139 150 190 228 230 276 278 285 300 345 380 417 437 460 475 556 570 575 690 695 834 874 950 1140 1150 1311 1380 1390 1425 1668 1725 1748 1900 2085 2185 2300 2622 2641 2780 2850 3197 3450 3475 4170 4370 5244 5282 5700 6394 6555 6900 6950 7923 8340 8740 9591 10425 10564 10925 12788 13110 13205 13900 15846 15985 19182 20850 21850 26220 26410 31692 31970 32775 38364 39615 41700 43700 47955 52820 60743 63940 65550 66025 79230 79925 95910 121486 131100 132050 158460 159850 182229 191820 198075 239775 242972 264100 303715 319700 364458 396150 479550 607430 728916 792300 911145 959100 1214860 1518575 1822290 3037150 3644580 4555725 6074300 9111450 18222900