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2261886 = 231143797
BaseRepresentation
bin1000101000001101111110
311020220201120
420220031332
51034340021
6120251410
725140264
oct10501576
94226646
102261886
111305430
12910b66
136126c3
1442c434
152ea2c6
hex22837e

2261886 has 32 divisors (see below), whose sum is σ = 5056128. Its totient is φ = 668640.

The previous prime is 2261863. The next prime is 2261887. The reversal of 2261886 is 6881622.

2261886 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22618862 = 10232256553992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261887) 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, 2440 + ... + 3236.

It is an arithmetic number, because the mean of its divisors is an integer number (158004).

22261886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064).

2261886 is an abundant number, since it is smaller than the sum of its proper divisors (2794242).

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

2261886 is a wasteful number, since it uses less digits than its factorization.

2261886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856.

The product of its digits is 9216, while the sum is 33.

The square root of 2261886 is about 1503.9567812939. The cubic root of 2261886 is about 131.2674063083.

It can be divided in two parts, 226188 and 6, that multiplied together give a triangular number (1357128 = T1647).

The spelling of 2261886 in words is "two million, two hundred sixty-one thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 797 946 1419 1594 2391 2838 4782 8767 17534 26301 34271 52602 68542 102813 205626 376981 753962 1130943 2261886