Search a number
-
+
22053888 = 210322393
BaseRepresentation
bin101010000100…
…0010000000000
31112111110020200
41110020100000
521121211023
62104405200
7355312023
oct124102000
945443220
1022053888
11114a345a
127476800
13475224c
142d011ba
151e09743
hex1508400

22053888 has 66 divisors (see below), whose sum is σ = 63706734. Its totient is φ = 7348224.

The previous prime is 22053881. The next prime is 22053923. The reversal of 22053888 is 88835022.

It can be written as a sum of positive squares in only one way, i.e., 12616704 + 9437184 = 3552^2 + 3072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22053881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8020 + ... + 10412.

Almost surely, 222053888 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 22053888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31853367).

22053888 is an abundant number, since it is smaller than the sum of its proper divisors (41652846).

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

22053888 is a wasteful number, since it uses less digits than its factorization.

22053888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 22053888 is about 4696.1567265158. The cubic root of 22053888 is about 280.4325287879.

The spelling of 22053888 in words is "twenty-two million, fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 2393 3072 4608 4786 7179 9216 9572 14358 19144 21537 28716 38288 43074 57432 76576 86148 114864 153152 172296 229728 306304 344592 459456 612608 689184 918912 1225216 1378368 1837824 2450432 2756736 3675648 5513472 7351296 11026944 22053888