Search a number
-
+
22428288 = 273219469
BaseRepresentation
bin101010110001…
…1101010000000
31120012110211100
41111203222000
521220201123
62120414400
7361431411
oct125435200
946173740
1022428288
1111729783
127617400
13485379c
142d9b808
151e80643
hex1563a80

22428288 has 48 divisors (see below), whose sum is σ = 64543050. Its totient is φ = 7475712.

The previous prime is 22428277. The next prime is 22428349. The reversal of 22428288 is 88282422.

It can be written as a sum of positive squares in only one way, i.e., 20142144 + 2286144 = 4488^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×224282882 = 1006056205221888, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8583 + ... + 10886.

Almost surely, 222428288 is an apocalyptic number.

It is an amenable number.

22428288 is an abundant number, since it is smaller than the sum of its proper divisors (42114762).

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

22428288 is a wasteful number, since it uses less digits than its factorization.

22428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19489 (or 19474 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 22428288 is about 4735.8513490185. The cubic root of 22428288 is about 282.0105624533.

The spelling of 22428288 in words is "twenty-two million, four hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 19469 38938 58407 77876 116814 155752 175221 233628 311504 350442 467256 623008 700884 934512 1246016 1401768 1869024 2492032 2803536 3738048 5607072 7476096 11214144 22428288