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2271726 = 23437379
BaseRepresentation
bin1000101010100111101110
311021102020000
420222213232
51040143401
6120405130
725211052
oct10524756
94242200
102271726
111311866
129167a6
13617022
14431c62
152ed186
hex22a9ee

2271726 has 40 divisors (see below), whose sum is σ = 5241720. Its totient is φ = 734832.

The previous prime is 2271721. The next prime is 2271743. The reversal of 2271726 is 6271722.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2271726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5805 + ... + 6183.

It is an arithmetic number, because the mean of its divisors is an integer number (131043).

22271726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620860).

2271726 is an abundant number, since it is smaller than the sum of its proper divisors (2969994).

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

2271726 is a wasteful number, since it uses less digits than its factorization.

2271726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 2271726 is about 1507.2246017100. The cubic root of 2271726 is about 131.4574840748.

It can be divided in two parts, 227 and 1726, that added together give a triangular number (1953 = T62).

The spelling of 2271726 in words is "two million, two hundred seventy-one thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 379 666 758 999 1137 1998 2274 2997 3411 5994 6822 10233 14023 20466 28046 30699 42069 61398 84138 126207 252414 378621 757242 1135863 2271726