Search a number
-
+
22263780 = 22357116179
BaseRepresentation
bin101010011101…
…1011111100100
31112220010011110
41110323133210
521144420110
62113105020
7360144660
oct124733744
945803143
1022263780
1111627120
127558170
1347c6946
142d578a0
151e4ba20
hex153b7e4

22263780 has 192 divisors, whose sum is σ = 79994880. Its totient is φ = 4492800.

The previous prime is 22263767. The next prime is 22263817. The reversal of 22263780 is 8736222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281781 + ... + 281859.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 222263780 is an apocalyptic number.

22263780 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 22263780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

22263780 is an abundant number, since it is smaller than the sum of its proper divisors (57731100).

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

22263780 is a wasteful number, since it uses less digits than its factorization.

22263780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 22263780 is about 4718.4510170182. The cubic root of 22263780 is about 281.3193685683.

It can be divided in two parts, 2226 and 3780, that added together give a palindrome (6006).

The spelling of 22263780 in words is "twenty-two million, two hundred sixty-three thousand, seven hundred eighty".