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18213816 = 2334767241
BaseRepresentation
bin100010101111…
…0101110111000
31021021100122210
41011132232320
514130320231
61450215120
7310546335
oct105365670
937240583
1018213816
11a310345
1261244a0
133a0940a
1425c198c
1518eba46
hex115ebb8

18213816 has 64 divisors (see below), whose sum is σ = 47393280. Its totient is φ = 5829120.

The previous prime is 18213803. The next prime is 18213823. The reversal of 18213816 is 61831281.

It is a nude number because it is divisible by every one of its digits.

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, 75456 + ... + 75696.

It is an arithmetic number, because the mean of its divisors is an integer number (740520).

Almost surely, 218213816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18213816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696640).

18213816 is an abundant number, since it is smaller than the sum of its proper divisors (29179464).

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

18213816 is a wasteful number, since it uses less digits than its factorization.

18213816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 18213816 is about 4267.7647545290. The cubic root of 18213816 is about 263.1077546185.

The spelling of 18213816 in words is "eighteen million, two hundred thirteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 67 94 134 141 188 201 241 268 282 376 402 482 536 564 723 804 964 1128 1446 1608 1928 2892 3149 5784 6298 9447 11327 12596 16147 18894 22654 25192 32294 33981 37788 45308 48441 64588 67962 75576 90616 96882 129176 135924 193764 271848 387528 758909 1517818 2276727 3035636 4553454 6071272 9106908 18213816