Search a number
-
+
22830522 = 23112134159
BaseRepresentation
bin101011100010…
…1110110111010
31120221220120220
41113011312322
521321034042
62133200510
7365025201
oct127056672
946856526
1022830522
1111983a00
127790136
1349648b0
143064238
15200e8ec
hex15c5dba

22830522 has 96 divisors (see below), whose sum is σ = 56306880. Its totient is φ = 6124800.

The previous prime is 22830503. The next prime is 22830523. The reversal of 22830522 is 22503822.

It is a junction number, because it is equal to n+sod(n) for n = 22830492 and 22830501.

It is not an unprimeable number, because it can be changed into a prime (22830523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386929 + ... + 386987.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 222830522 is an apocalyptic number.

22830522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22830522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153440).

22830522 is an abundant number, since it is smaller than the sum of its proper divisors (33476358).

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

22830522 is a wasteful number, since it uses less digits than its factorization.

22830522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22830522 is about 4778.1295503575. The cubic root of 22830522 is about 283.6864638093.

The spelling of 22830522 in words is "twenty-two million, eight hundred thirty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 41 59 66 78 82 118 121 123 143 177 242 246 286 354 363 429 451 533 649 726 767 858 902 1066 1298 1353 1534 1573 1599 1947 2301 2419 2706 3146 3198 3894 4602 4719 4838 4961 5863 7139 7257 8437 9438 9922 11726 14278 14514 14883 16874 17589 21417 25311 26609 29766 31447 35178 42834 50622 53218 62894 64493 79827 92807 94341 128986 159654 185614 188682 193479 278421 292699 345917 386958 556842 585398 691834 878097 1037751 1756194 2075502 3805087 7610174 11415261 22830522