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22023040 = 275132647
BaseRepresentation
bin101010000000…
…0101110000000
31112102212221011
41110000232000
521114214130
62104010304
7355123054
oct124005600
945385834
1022023040
1111482266
127460994
1347411b0
142cd3c64
151e0052a
hex1500b80

22023040 has 64 divisors (see below), whose sum is σ = 56720160. Its totient is φ = 8128512.

The previous prime is 22023031. The next prime is 22023047. The reversal of 22023040 is 4032022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 22023040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22023047) 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 7 ways as a sum of consecutive naturals, for example, 6997 + ... + 9643.

Almost surely, 222023040 is an apocalyptic number.

22023040 is a gapful number since it is divisible by the number (20) 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 22023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28360080).

22023040 is an abundant number, since it is smaller than the sum of its proper divisors (34697120).

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

22023040 is a wasteful number, since it uses less digits than its factorization.

22023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 22023040 is about 4692.8711893680. The cubic root of 22023040 is about 280.3017155842.

Adding to 22023040 its reverse (4032022), we get a palindrome (26055062).

The spelling of 22023040 in words is "twenty-two million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 2647 4160 5294 8320 10588 13235 21176 26470 34411 42352 52940 68822 84704 105880 137644 169408 172055 211760 275288 338816 344110 423520 550576 688220 847040 1101152 1376440 1694080 2202304 2752880 4404608 5505760 11011520 22023040