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18228980 = 22572111989
BaseRepresentation
bin100010110001…
…0011011110100
31021022010110102
41011202123310
514131311410
61450413232
7310641500
oct105423364
937263412
1018228980
11a320780
126131218
133a132a3
1425c7300
1519012a5
hex11626f4

18228980 has 144 divisors (see below), whose sum is σ = 51710400. Its totient is φ = 5322240.

The previous prime is 18228971. The next prime is 18228983. The reversal of 18228980 is 8982281.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18228983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204776 + ... + 204864.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 218228980 is an apocalyptic number.

18228980 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 18228980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

18228980 is an abundant number, since it is smaller than the sum of its proper divisors (33481420).

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

18228980 is a wasteful number, since it uses less digits than its factorization.

18228980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 18228980 is about 4269.5409589322. The cubic root of 18228980 is about 263.1807515726.

18228980 divided by its sum of digits (38) gives a triangular number (479710 = T979).

The spelling of 18228980 in words is "eighteen million, two hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 49 55 70 76 77 89 95 98 110 133 140 154 178 190 196 209 220 245 266 308 356 380 385 418 445 490 532 539 623 665 770 836 890 931 979 980 1045 1078 1246 1330 1463 1540 1691 1780 1862 1958 2090 2156 2492 2660 2695 2926 3115 3382 3724 3916 4180 4361 4655 4895 5390 5852 6230 6764 6853 7315 8455 8722 9310 9790 10241 10780 11837 12460 13706 14630 16910 17444 18601 18620 19580 20482 21805 23674 27412 29260 33820 34265 37202 40964 43610 47348 47971 51205 59185 68530 74404 82859 87220 93005 95942 102410 118370 130207 137060 165718 186010 191884 204820 236740 239855 260414 331436 372020 414295 479710 520828 651035 828590 911449 959420 1302070 1657180 1822898 2604140 3645796 4557245 9114490 18228980