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216012312 = 23335318869
BaseRepresentation
bin11001110000000…
…01011000011000
3120001110120012000
430320001120120
5420244343222
633233521000
75232034335
oct1470013030
9501416160
10216012312
11100a2a27a
1260413160
13359a2649
142098d98c
1513e6d9ac
hexce01618

216012312 has 64 divisors (see below), whose sum is σ = 611388000. Its totient is φ = 70641792.

The previous prime is 216012299. The next prime is 216012323. The reversal of 216012312 is 213210612.

It is a super-2 number, since 2×2160123122 = 93322637871170688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2014 + ... + 20882.

Almost surely, 2216012312 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 216012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305694000).

216012312 is an abundant number, since it is smaller than the sum of its proper divisors (395375688).

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

216012312 is a wasteful number, since it uses less digits than its factorization.

216012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18937 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 216012312 is about 14697.3573134765. The cubic root of 216012312 is about 600.0113997834.

Adding to 216012312 its reverse (213210612), we get a palindrome (429222924).

The spelling of 216012312 in words is "two hundred sixteen million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 11448 18869 37738 56607 75476 113214 150952 169821 226428 339642 452856 509463 679284 1000057 1018926 1358568 2000114 2037852 3000171 4000228 4075704 6000342 8000456 9000513 12000684 18001026 24001368 27001539 36002052 54003078 72004104 108006156 216012312