Search a number
-
+
22357530 = 23251397197
BaseRepresentation
bin101010101001…
…0011000011010
31120001212202200
41111102120122
521210420110
62115111030
7361015206
oct125223032
946055680
1022357530
11116905a8
1275a2476
13482a510
142d7db06
151e696c0
hex155261a

22357530 has 96 divisors (see below), whose sum is σ = 63567504. Its totient is φ = 5419008.

The previous prime is 22357529. The next prime is 22357561. The reversal of 22357530 is 3575322.

It can be written as a sum of positive squares in 8 ways, for example, as 11840481 + 10517049 = 3441^2 + 3243^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22357494 and 22357503.

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 47 ways as a sum of consecutive naturals, for example, 113392 + ... + 113588.

Almost surely, 222357530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22357530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31783752).

22357530 is an abundant number, since it is smaller than the sum of its proper divisors (41209974).

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

22357530 is a wasteful number, since it uses less digits than its factorization.

22357530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 22357530 is about 4728.3749851297. The cubic root of 22357530 is about 281.7136825375.

It can be divided in two parts, 2 and 2357530, that added together give a palindrome (2357532).

The spelling of 22357530 in words is "twenty-two million, three hundred fifty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 97 117 130 194 195 197 234 291 390 394 485 582 585 591 873 970 985 1170 1182 1261 1455 1746 1773 1970 2522 2561 2910 2955 3546 3783 4365 5122 5910 6305 7566 7683 8730 8865 11349 12610 12805 15366 17730 18915 19109 22698 23049 25610 37830 38218 38415 46098 56745 57327 76830 95545 113490 114654 115245 171981 191090 230490 248417 286635 343962 496834 573270 745251 859905 1242085 1490502 1719810 2235753 2484170 3726255 4471506 7452510 11178765 22357530