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190216 = 23133159
BaseRepresentation
bin101110011100001000
3100122221001
4232130020
522041331
64024344
71421365
oct563410
9318831
10190216
1111aa04
12920b4
1368770
144d46c
153b561
hex2e708

190216 has 32 divisors (see below), whose sum is σ = 403200. Its totient is φ = 83520.

The previous prime is 190207. The next prime is 190243. The reversal of 190216 is 612091.

190216 is nontrivially palindromic in base 3.

190216 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 = 190193 and 190202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3195 + ... + 3253.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2190216 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 190216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

190216 is an abundant number, since it is smaller than the sum of its proper divisors (212984).

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

190216 is a wasteful number, since it uses less digits than its factorization.

190216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 190216 is about 436.1375929681. The cubic root of 190216 is about 57.5107478334.

Subtracting 190216 from its reverse (612091), we obtain a cube (421875 = 753).

It can be divided in two parts, 190 and 216, that added together give a triangular number (406 = T28).

The spelling of 190216 in words is "one hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 31 52 59 62 104 118 124 236 248 403 472 767 806 1534 1612 1829 3068 3224 3658 6136 7316 14632 23777 47554 95108 190216