Search a number
-
+
22058304 = 263131877
BaseRepresentation
bin101010000100…
…1010101000000
31112111200022020
41110021111000
521121331204
62104441440
7355330632
oct124112500
945450266
1022058304
11114a6804
127479280
134754268
142d02a52
151e0abd9
hex1509540

22058304 has 56 divisors (see below), whose sum is σ = 58875168. Its totient is φ = 7288320.

The previous prime is 22058303. The next prime is 22058317. The reversal of 22058304 is 40385022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22058303) 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, 24714 + ... + 25590.

Almost surely, 222058304 is an apocalyptic number.

22058304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29437584).

22058304 is an abundant number, since it is smaller than the sum of its proper divisors (36816864).

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

22058304 is a wasteful number, since it uses less digits than its factorization.

22058304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22058304 is about 4696.6268746836. The cubic root of 22058304 is about 280.4512451763.

The spelling of 22058304 in words is "twenty-two million, fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 877 1048 1572 1754 2096 2631 3144 3508 4192 5262 6288 7016 8384 10524 12576 14032 21048 25152 28064 42096 56128 84192 114887 168384 229774 344661 459548 689322 919096 1378644 1838192 2757288 3676384 5514576 7352768 11029152 22058304