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216100020 = 223511933019
BaseRepresentation
bin11001110000101…
…10110010110100
3120001122000111110
430320112302310
5420310200040
633235435020
75232551133
oct1470266264
9501560443
10216100020
11100a8a164
1260455a70
1335a03546
14209b391a
1513e89980
hexce16cb4

216100020 has 48 divisors (see below), whose sum is σ = 605787840. Its totient is φ = 57559296.

The previous prime is 216099953. The next prime is 216100037. The reversal of 216100020 is 20001612.

216100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 216099969 and 216100005.

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, 70071 + ... + 73089.

It is an arithmetic number, because the mean of its divisors is an integer number (12620580).

Almost surely, 2216100020 is an apocalyptic number.

216100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216100020 is an abundant number, since it is smaller than the sum of its proper divisors (389687820).

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

216100020 is a wasteful number, since it uses less digits than its factorization.

216100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 216100020 is about 14700.3408123757. The cubic root of 216100020 is about 600.0925968201.

Adding to 216100020 its reverse (20001612), we get a palindrome (236101632).

The spelling of 216100020 in words is "two hundred sixteen million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1193 2386 3019 3579 4772 5965 6038 7158 9057 11930 12076 14316 15095 17895 18114 23860 30190 35790 36228 45285 60380 71580 90570 181140 3601667 7203334 10805001 14406668 18008335 21610002 36016670 43220004 54025005 72033340 108050010 216100020