Search a number
-
+
22023792 = 243377283
BaseRepresentation
bin101010000000…
…0111001110000
31112102220222000
41110000321300
521114230132
62104014000
7355125210
oct124007160
945386860
1022023792
111148288a
127461300
13474163b
142cd4240
151e0087c
hex1500e70

22023792 has 80 divisors (see below), whose sum is σ = 72257280. Its totient is φ = 6291648.

The previous prime is 22023791. The next prime is 22023797. The reversal of 22023792 is 29732022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (903216).

Almost surely, 222023792 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 22023792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36128640).

22023792 is an abundant number, since it is smaller than the sum of its proper divisors (50233488).

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

22023792 is a wasteful number, since it uses less digits than its factorization.

22023792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 22023792 is about 4692.9513102098. The cubic root of 22023792 is about 280.3049059474.

The spelling of 22023792 in words is "twenty-two million, twenty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 7283 14566 21849 29132 43698 50981 58264 65547 87396 101962 116528 131094 152943 174792 196641 203924 262188 305886 349584 393282 407848 458829 524376 611772 786564 815696 917658 1048752 1223544 1376487 1573128 1835316 2447088 2752974 3146256 3670632 5505948 7341264 11011896 22023792