Search a number
-
+
2269904 = 247131559
BaseRepresentation
bin1000101010001011010000
311021022201112
420222023100
51040114104
6120352452
725202540
oct10521320
94238645
102269904
11131045a
12915728
13616250
14431320
152ec86e
hex22a2d0

2269904 has 40 divisors (see below), whose sum is σ = 5416320. Its totient is φ = 897408.

The previous prime is 2269903. The next prime is 2269909. The reversal of 2269904 is 4099622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677 + ... + 2235.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

22269904 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 2269904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708160).

2269904 is an abundant number, since it is smaller than the sum of its proper divisors (3146416).

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

2269904 is a wasteful number, since it uses less digits than its factorization.

2269904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 2269904 is about 1506.6200582761. The cubic root of 2269904 is about 131.4223302464.

The spelling of 2269904 in words is "two million, two hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1559 3118 6236 10913 12472 20267 21826 24944 40534 43652 81068 87304 141869 162136 174608 283738 324272 567476 1134952 2269904