Search a number
-
+
22123320 = 23351071723
BaseRepresentation
bin101010001100…
…1001100111000
31112121222111020
41110121030320
521130421240
62110102440
7356021322
oct124311470
945558436
1022123320
111154063a
1274aaa20
134777a2b
142d1c612
151e200d0
hex1519338

22123320 has 64 divisors (see below), whose sum is σ = 67029120. Its totient is φ = 5841024.

The previous prime is 22123319. The next prime is 22123349. The reversal of 22123320 is 2332122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22123320.

It is a congruent number.

It is an unprimeable number.

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, 11979 + ... + 13701.

It is an arithmetic number, because the mean of its divisors is an integer number (1047330).

Almost surely, 222123320 is an apocalyptic number.

22123320 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 22123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33514560).

22123320 is an abundant number, since it is smaller than the sum of its proper divisors (44905800).

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

22123320 is a wasteful number, since it uses less digits than its factorization.

22123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 22123320 is about 4703.5433451814. The cubic root of 22123320 is about 280.7265146461.

Adding to 22123320 its reverse (2332122), we get a palindrome (24455442).

The spelling of 22123320 in words is "twenty-two million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 1723 2140 2568 3210 3446 4280 5169 6420 6892 8615 10338 12840 13784 17230 20676 25845 34460 41352 51690 68920 103380 184361 206760 368722 553083 737444 921805 1106166 1474888 1843610 2212332 2765415 3687220 4424664 5530830 7374440 11061660 22123320