Search a number
-
+
22456640 = 26570177
BaseRepresentation
bin101010110101…
…0100101000000
31120020220201102
41111222211000
521222103030
62121153532
7361610153
oct125524500
946226642
1022456640
1111749008
12762b8a8
13486366b
142da7c9a
151e88c45
hex156a940

22456640 has 28 divisors (see below), whose sum is σ = 53475636. Its totient is φ = 8982528.

The previous prime is 22456633. The next prime is 22456649. The reversal of 22456640 is 4665422.

It can be written as a sum of positive squares in 2 ways, for example, as 3655744 + 18800896 = 1912^2 + 4336^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22456649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34769 + ... + 35408.

Almost surely, 222456640 is an apocalyptic number.

22456640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22456640 is an abundant number, since it is smaller than the sum of its proper divisors (31018996).

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

22456640 is an equidigital number, since it uses as much as digits as its factorization.

22456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70194 (or 70184 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 22456640 is about 4738.8437408296. The cubic root of 22456640 is about 282.1293439481.

The spelling of 22456640 in words is "twenty-two million, four hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 70177 140354 280708 350885 561416 701770 1122832 1403540 2245664 2807080 4491328 5614160 11228320 22456640