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2214888 = 2331331229
BaseRepresentation
bin1000011100101111101000
311011112020220
420130233220
51031334023
6115250040
724553254
oct10345750
94145226
102214888
111283095
128a9920
135c71b0
14419264
152db3e3
hex21cbe8

2214888 has 64 divisors (see below), whose sum is σ = 6182400. Its totient is φ = 656640.

The previous prime is 2214869. The next prime is 2214907. The reversal of 2214888 is 8884122.

2214888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2214869) and next prime (2214907).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9558 + ... + 9786.

It is an arithmetic number, because the mean of its divisors is an integer number (96600).

22214888 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 2214888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091200).

2214888 is an abundant number, since it is smaller than the sum of its proper divisors (3967512).

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

2214888 is a wasteful number, since it uses less digits than its factorization.

2214888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 2214888 is about 1488.2499790022. The cubic root of 2214888 is about 130.3518672645.

The spelling of 2214888 in words is "two million, two hundred fourteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 229 248 312 372 403 458 687 744 806 916 1209 1374 1612 1832 2418 2748 2977 3224 4836 5496 5954 7099 8931 9672 11908 14198 17862 21297 23816 28396 35724 42594 56792 71448 85188 92287 170376 184574 276861 369148 553722 738296 1107444 2214888