Search a number
-
+
22240384 = 27239727
BaseRepresentation
bin101010011010…
…1110010000000
31112211221001221
41110311302000
521143143014
62112404424
7360016525
oct124656200
945757057
1022240384
1111610591
127546714
1347b90ba
142d4d14c
151e44b24
hex1535c80

22240384 has 32 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 11058432.

The previous prime is 22240381. The next prime is 22240391. The reversal of 22240384 is 48304222.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (22240381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30229 + ... + 30955.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 222240384 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 22240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

22240384 is an abundant number, since it is smaller than the sum of its proper divisors (22313216).

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

22240384 is an equidigital number, since it uses as much as digits as its factorization.

22240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 22240384 is about 4715.9711619135. The cubic root of 22240384 is about 281.2207920944.

The spelling of 22240384 in words is "twenty-two million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 239 478 727 956 1454 1912 2908 3824 5816 7648 11632 15296 23264 30592 46528 93056 173753 347506 695012 1390024 2780048 5560096 11120192 22240384