Search a number
-
+
13662216 = 2333193329
BaseRepresentation
bin110100000111…
…100000001000
3221201010001000
4310013200020
511444142331
61204455000
7224061351
oct64074010
927633030
1013662216
117791697
1246aa460
132aa4769
141b58d28
1512ed0e6
hexd07808

13662216 has 64 divisors (see below), whose sum is σ = 39960000. Its totient is φ = 4313088.

The previous prime is 13662211. The next prime is 13662221. The reversal of 13662216 is 61226631.

13662216 is a `hidden beast` number, since 1 + 36 + 622 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13662211) and next prime (13662221).

It is a super-2 number, since 2×136622162 = 373312292061312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13662216.

It is not an unprimeable number, because it can be changed into a prime (13662211) 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, 2440 + ... + 5768.

It is an arithmetic number, because the mean of its divisors is an integer number (624375).

Almost surely, 213662216 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 13662216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980000).

13662216 is an abundant number, since it is smaller than the sum of its proper divisors (26297784).

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

13662216 is a wasteful number, since it uses less digits than its factorization.

13662216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3353 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13662216 is about 3696.2434984725. The cubic root of 13662216 is about 239.0600737162.

Adding to 13662216 its reverse (61226631), we get a palindrome (74888847).

The spelling of 13662216 in words is "thirteen million, six hundred sixty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3329 4104 6658 9987 13316 19974 26632 29961 39948 59922 63251 79896 89883 119844 126502 179766 189753 239688 253004 359532 379506 506008 569259 719064 759012 1138518 1518024 1707777 2277036 3415554 4554072 6831108 13662216