Search a number
-
+
216287232 = 2113747107
BaseRepresentation
bin11001110010001…
…00100000000000
3120001222112022020
430321010200000
5420332142412
633243441440
75234261010
oct1471044000
9501875266
10216287232
111010a7887
1260526280
1335a6a815
1420a21c40
1513ec518c
hexce44800

216287232 has 192 divisors, whose sum is σ = 679311360. Its totient is φ = 59916288.

The previous prime is 216287231. The next prime is 216287233. The reversal of 216287232 is 232782612.

It is an interprime number because it is at equal distance from previous prime (216287231) and next prime (216287233).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 216287193 and 216287202.

It is not an unprimeable number, because it can be changed into a prime (216287231) 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, 2021323 + ... + 2021429.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2216287232 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 216287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

216287232 is an abundant number, since it is smaller than the sum of its proper divisors (463024128).

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

216287232 is a wasteful number, since it uses less digits than its factorization.

216287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 216287232 is about 14706.7070413468. The cubic root of 216287232 is about 600.2658377553.

The spelling of 216287232 in words is "two hundred sixteen million, two hundred eighty-seven thousand, two hundred thirty-two".