Search a number
-
+
22948380 = 22335713467
BaseRepresentation
bin101011110001…
…0101000011100
31121011220021000
41113202220130
521333322010
62135510300
7366025620
oct127425034
947156230
1022948380
1111a54504
127828390
1349a6430
143095180
1520347c0
hex15e2a1c

22948380 has 192 divisors, whose sum is σ = 88058880. Its totient is φ = 4831488.

The previous prime is 22948363. The next prime is 22948381. The reversal of 22948380 is 8384922.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22948381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48907 + ... + 49373.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 222948380 is an apocalyptic number.

22948380 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 22948380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

22948380 is an abundant number, since it is smaller than the sum of its proper divisors (65110500).

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

22948380 is a wasteful number, since it uses less digits than its factorization.

22948380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 22948380 is about 4790.4467432589. The cubic root of 22948380 is about 284.1737843991.

The spelling of 22948380 in words is "twenty-two million, nine hundred forty-eight thousand, three hundred eighty".