Search a number
-
+
100216968 = 2338834729
BaseRepresentation
bin1011111100100…
…11000010001000
320222120112211120
411332103002020
5201123420333
613535555240
72324554515
oct576230210
9228515746
10100216968
115162a545
122968bb20
13179bb4a7
14d44a30c
158be8db3
hex5f93088

100216968 has 32 divisors (see below), whose sum is σ = 250879200. Its totient is φ = 33360768.

The previous prime is 100216967. The next prime is 100216973. The reversal of 100216968 is 869612001.

It is a super-2 number, since 2×1002169682 = 20086881350226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100216967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18828 + ... + 23556.

It is an arithmetic number, because the mean of its divisors is an integer number (7839975).

Almost surely, 2100216968 is an apocalyptic number.

It is an amenable number.

100216968 is an abundant number, since it is smaller than the sum of its proper divisors (150662232).

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

100216968 is a wasteful number, since it uses less digits than its factorization.

100216968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 100216968 is about 10010.8425219858. The cubic root of 100216968 is about 464.4943329541.

Adding to 100216968 its reverse (869612001), we get a palindrome (969828969).

The spelling of 100216968 in words is "one hundred million, two hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 883 1766 2649 3532 4729 5298 7064 9458 10596 14187 18916 21192 28374 37832 56748 113496 4175707 8351414 12527121 16702828 25054242 33405656 50108484 100216968