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2661228 = 223341601
BaseRepresentation
bin1010001001101101101100
312000012112000
422021231230
51140124403
6133012300
731422453
oct12115554
95005460
102661228
111558469
12a84090
137223bb
144d3b9a
153787a3
hex289b6c

2661228 has 48 divisors (see below), whose sum is σ = 7079520. Its totient is φ = 864000.

The previous prime is 2661221. The next prime is 2661233. The reversal of 2661228 is 8221662.

2661228 is a `hidden beast` number, since 26 + 612 + 28 = 666.

2661228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2661221) by changing a digit.

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, 4128 + ... + 4728.

It is an arithmetic number, because the mean of its divisors is an integer number (147490).

22661228 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 2661228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539760).

2661228 is an abundant number, since it is smaller than the sum of its proper divisors (4418292).

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

2661228 is a wasteful number, since it uses less digits than its factorization.

2661228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2661228 is about 1631.3270671450. The cubic root of 2661228 is about 138.5779166855.

The spelling of 2661228 in words is "two million, six hundred sixty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 601 738 1107 1202 1476 1803 2214 2404 3606 4428 5409 7212 10818 16227 21636 24641 32454 49282 64908 73923 98564 147846 221769 295692 443538 665307 887076 1330614 2661228