Search a number
-
+
22289592 = 23313199359
BaseRepresentation
bin101010100000…
…1110010111000
31112221102120110
41111001302320
521201231332
62113424320
7360313143
oct125016270
945842513
1022289592
1111644556
12756b0a0
134805610
142d6305a
151e544cc
hex1541cb8

22289592 has 64 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 6804864.

The previous prime is 22289557. The next prime is 22289593. The reversal of 22289592 is 29598222.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (51840) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 22289592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22289593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61909 + ... + 62267.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 222289592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22289592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

22289592 is an abundant number, since it is smaller than the sum of its proper divisors (38190408).

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

22289592 is a wasteful number, since it uses less digits than its factorization.

22289592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 22289592 is about 4721.1854443561. The cubic root of 22289592 is about 281.4280445002.

The spelling of 22289592 in words is "twenty-two million, two hundred eighty-nine thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 199 312 359 398 597 718 796 1077 1194 1436 1592 2154 2388 2587 2872 4308 4667 4776 5174 7761 8616 9334 10348 14001 15522 18668 20696 28002 31044 37336 56004 62088 71441 112008 142882 214323 285764 428646 571528 857292 928733 1714584 1857466 2786199 3714932 5572398 7429864 11144796 22289592