Search a number
-
+
216662706 = 232134012309
BaseRepresentation
bin11001110101000…
…00001010110010
3120002200121100200
430322200022302
5420431201311
633255500030
75240413461
oct1472401262
9502617320
10216662706
11101333997
1260687616
1335b6c6b0
1420abc9d8
151404b556
hexcea02b2

216662706 has 48 divisors (see below), whose sum is σ = 507026520. Its totient is φ = 66470400.

The previous prime is 216662701. The next prime is 216662711. The reversal of 216662706 is 607266612.

It is an interprime number because it is at equal distance from previous prime (216662701) and next prime (216662711).

It can be written as a sum of positive squares in 4 ways, for example, as 215825481 + 837225 = 14691^2 + 915^2 .

It is not an unprimeable number, because it can be changed into a prime (216662701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92680 + ... + 94988.

Almost surely, 2216662706 is an apocalyptic number.

216662706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 216662706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253513260).

216662706 is an abundant number, since it is smaller than the sum of its proper divisors (290363814).

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

216662706 is a wasteful number, since it uses less digits than its factorization.

216662706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 216662706 is about 14719.4669061077. The cubic root of 216662706 is about 600.6129901918.

The spelling of 216662706 in words is "two hundred sixteen million, six hundred sixty-two thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 401 802 1203 2309 2406 3609 4618 5213 6927 7218 10426 13854 15639 20781 30017 31278 41562 46917 60034 90051 93834 180102 270153 540306 925909 1851818 2777727 5555454 8333181 12036817 16666362 24073634 36110451 72220902 108331353 216662706