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2212128 = 25327681
BaseRepresentation
bin1000011100000100100000
311011101110200
420130010200
51031242003
6115225200
724542232
oct10340440
94141420
102212128
111281006
128a8200
135c5b69
14418252
152da6a3
hex21c120

2212128 has 36 divisors (see below), whose sum is σ = 6291558. Its totient is φ = 737280.

The previous prime is 2212127. The next prime is 2212141. The reversal of 2212128 is 8212122.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1710864 + 501264 = 1308^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 2212128.

It is not an unprimeable number, because it can be changed into a prime (2212123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3553 + ... + 4128.

22212128 is an apocalyptic number.

It is an amenable number.

2212128 is an abundant number, since it is smaller than the sum of its proper divisors (4079430).

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

2212128 is a wasteful number, since it uses less digits than its factorization.

2212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697 (or 7686 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 2212128 is about 1487.3224263757. The cubic root of 2212128 is about 130.2977003878.

The spelling of 2212128 in words is "two million, two hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7681 15362 23043 30724 46086 61448 69129 92172 122896 138258 184344 245792 276516 368688 553032 737376 1106064 2212128