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12218000 = 245341149
BaseRepresentation
bin101110100110…
…111010010000
3211222201221112
4232212322100
511111434000
61113512452
7205564664
oct56467220
924881845
1012218000
116995623
124112728
1326ba2b2
1418a08a4
151115235
hexba6e90

12218000 has 80 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 4736000.

The previous prime is 12217993. The next prime is 12218027. The reversal of 12218000 is 81221.

12218000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9759376 + 2458624 = 3124^2 + 1568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81926 + ... + 82074.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 212218000 is an apocalyptic number.

12218000 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 12218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

12218000 is an abundant number, since it is smaller than the sum of its proper divisors (18248800).

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

12218000 is a wasteful number, since it uses less digits than its factorization.

12218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 12218000 is about 3495.4255821001. The cubic root of 12218000 is about 230.3209130886.

Adding to 12218000 its reverse (81221), we get a palindrome (12299221).

The spelling of 12218000 in words is "twelve million, two hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 149 164 200 205 250 298 328 400 410 500 596 656 745 820 1000 1025 1192 1490 1640 2000 2050 2384 2980 3280 3725 4100 5125 5960 6109 7450 8200 10250 11920 12218 14900 16400 18625 20500 24436 29800 30545 37250 41000 48872 59600 61090 74500 82000 97744 122180 149000 152725 244360 298000 305450 488720 610900 763625 1221800 1527250 2443600 3054500 6109000 12218000