Search a number
-
+
2269542 = 2311137251
BaseRepresentation
bin1000101010000101100110
311021022020010
420222011212
51040111132
6120351050
725201512
oct10520546
94238203
102269542
111310160
12915486
13616032
14431142
152ec6cc
hex22a166

2269542 has 32 divisors (see below), whose sum is σ = 5007744. Its totient is φ = 680000.

The previous prime is 2269537. The next prime is 2269601. The reversal of 2269542 is 2459622.

It is a d-powerful number, because it can be written as 26 + 216 + 68 + 9 + 52 + 4 + 219 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8917 + ... + 9167.

It is an arithmetic number, because the mean of its divisors is an integer number (156492).

22269542 is an apocalyptic number.

2269542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 1506×1507.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503872).

2269542 is an abundant number, since it is smaller than the sum of its proper divisors (2738202).

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

2269542 is a wasteful number, since it uses less digits than its factorization.

2269542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404.

The product of its digits is 8640, while the sum is 30.

The square root of 2269542 is about 1506.4999170262. The cubic root of 2269542 is about 131.4153435467.

The spelling of 2269542 in words is "two million, two hundred sixty-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 137 251 274 411 502 753 822 1506 1507 2761 3014 4521 5522 8283 9042 16566 34387 68774 103161 206322 378257 756514 1134771 2269542