Search a number
-
+
22427496 = 23337213163
BaseRepresentation
bin101010110001…
…1011101101000
31120012102202000
41111203131220
521220134441
62120411000
7361426200
oct125433550
946172660
1022427496
1111729123
127616a60
134853310
142d9b400
151e802b6
hex1563768

22427496 has 192 divisors, whose sum is σ = 78523200. Its totient is φ = 5878656.

The previous prime is 22427491. The next prime is 22427501. The reversal of 22427496 is 69472422.

It is an interprime number because it is at equal distance from previous prime (22427491) and next prime (22427501).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22427496.

It is not an unprimeable number, because it can be changed into a prime (22427491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137511 + ... + 137673.

It is an arithmetic number, because the mean of its divisors is an integer number (408975).

Almost surely, 222427496 is an apocalyptic number.

22427496 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 22427496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39261600).

22427496 is an abundant number, since it is smaller than the sum of its proper divisors (56095704).

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

22427496 is a wasteful number, since it uses less digits than its factorization.

22427496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22427496 is about 4735.7677307909. The cubic root of 22427496 is about 282.0072429104.

The spelling of 22427496 in words is "twenty-two million, four hundred twenty-seven thousand, four hundred ninety-six".