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216364116 = 22373367673
BaseRepresentation
bin11001110010101…
…11010001010100
3120002010102202210
430321113101110
5420342122431
633245233420
75235031113
oct1471272124
9502112683
10216364116
1110114a621
1260562870
1335a96807
1420a41c7a
1513edcd46
hexce57454

216364116 has 48 divisors (see below), whose sum is σ = 513922304. Its totient is φ = 70834176.

The previous prime is 216364111. The next prime is 216364163. The reversal of 216364116 is 611463612.

216364116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2163641162 = 93626861384922912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216364111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321156 + ... + 321828.

Almost surely, 2216364116 is an apocalyptic number.

It is an amenable number.

216364116 is an abundant number, since it is smaller than the sum of its proper divisors (297558188).

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

216364116 is a wasteful number, since it uses less digits than its factorization.

216364116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1118 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 216364116 is about 14709.3207185104. The cubic root of 216364116 is about 600.3369551777.

It can be divided in two parts, 21636 and 4116, that added together give a palindrome (25752).

The spelling of 216364116 in words is "two hundred sixteen million, three hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 73 146 219 292 367 438 673 734 876 1101 1346 1468 2019 2202 2692 4038 4404 8076 26791 49129 53582 80373 98258 107164 147387 160746 196516 246991 294774 321492 493982 589548 740973 987964 1481946 2963892 18030343 36060686 54091029 72121372 108182058 216364116