Search a number
-
+
22023456 = 2537132521
BaseRepresentation
bin101010000000…
…0110100100000
31112102220111120
41110000310200
521114222311
62104012240
7355124220
oct124006440
945386446
1022023456
1111482604
127461080
134741440
142cd4080
151e00706
hex1500d20

22023456 has 96 divisors (see below), whose sum is σ = 71180928. Its totient is φ = 5806080.

The previous prime is 22023431. The next prime is 22023457. The reversal of 22023456 is 65432022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×220234562 = 970065228367872, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22023457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7476 + ... + 9996.

It is an arithmetic number, because the mean of its divisors is an integer number (741468).

Almost surely, 222023456 is an apocalyptic number.

22023456 is a gapful number since it is divisible by the number (26) 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 22023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35590464).

22023456 is an abundant number, since it is smaller than the sum of its proper divisors (49157472).

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

22023456 is a wasteful number, since it uses less digits than its factorization.

22023456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 22023456 is about 4692.9155117049. The cubic root of 22023456 is about 280.3034804750.

Adding to 22023456 its reverse (65432022), we get a palindrome (87455478).

The spelling of 22023456 in words is "twenty-two million, twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2521 2912 4368 5042 7563 8736 10084 15126 17647 20168 30252 32773 35294 40336 52941 60504 65546 70588 80672 98319 105882 121008 131092 141176 196638 211764 229411 242016 262184 282352 393276 423528 458822 524368 564704 688233 786552 847056 917644 1048736 1376466 1573104 1694112 1835288 2752932 3146208 3670576 5505864 7341152 11011728 22023456