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218230824 = 23373141903
BaseRepresentation
bin11010000000111…
…11000000101000
3120012122021102010
431000133000220
5421331341244
633353235520
75256634320
oct1500370050
9505567363
10218230824
11102205059
1261102ba0
133629b386
1420daa280
151425aeb9
hexd01f028

218230824 has 64 divisors (see below), whose sum is σ = 643645440. Its totient is φ = 60338880.

The previous prime is 218230811. The next prime is 218230843. The reversal of 218230824 is 428032812.

218230824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 218230791 and 218230800.

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, 15744 + ... + 26159.

It is an arithmetic number, because the mean of its divisors is an integer number (10056960).

Almost surely, 2218230824 is an apocalyptic number.

218230824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

218230824 is an abundant number, since it is smaller than the sum of its proper divisors (425414616).

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

218230824 is a wasteful number, since it uses less digits than its factorization.

218230824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41950 (or 41946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 218230824 is about 14772.6376791689. The cubic root of 218230824 is about 602.0585072807.

The spelling of 218230824 in words is "two hundred eighteen million, two hundred thirty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 41903 83806 125709 167612 251418 293321 335224 502836 586642 879963 1005672 1173284 1298993 1759926 2346568 2597986 3519852 3896979 5195972 7039704 7793958 9092951 10391944 15587916 18185902 27278853 31175832 36371804 54557706 72743608 109115412 218230824