Search a number
-
+
217842828 = 2237217193137
BaseRepresentation
bin11001111110000…
…00010010001100
3120011220120011220
430333000102030
5421231432303
633341043340
75253430200
oct1477002214
9504816156
10217842828
11101a6a5a5
1260b56550
13361938a8
1420d08b00
15141d1053
hexcfc048c

217842828 has 288 divisors, whose sum is σ = 698664960. Its totient is φ = 52254720.

The previous prime is 217842827. The next prime is 217842851. The reversal of 217842828 is 828248712.

217842828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2178428282 = 94910995422075168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 217842828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217842827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5887626 + ... + 5887662.

It is an arithmetic number, because the mean of its divisors is an integer number (2425920).

Almost surely, 2217842828 is an apocalyptic number.

217842828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217842828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349332480).

217842828 is an abundant number, since it is smaller than the sum of its proper divisors (480822132).

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

217842828 is a wasteful number, since it uses less digits than its factorization.

217842828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 217842828 is about 14759.4995850130. The cubic root of 217842828 is about 601.7014925331.

The spelling of 217842828 in words is "two hundred seventeen million, eight hundred forty-two thousand, eight hundred twenty-eight".