Search a number
-
+
22116330 = 2325317927
BaseRepresentation
bin101010001011…
…1011111101010
31112121121220100
41110113133222
521130210310
62110010230
7355662045
oct124273752
945547810
1022116330
1111536365
1274a6976
1347747b2
142d19c5c
151e1cec0
hex15177ea

22116330 has 48 divisors (see below), whose sum is σ = 59364864. Its totient is φ = 5706720.

The previous prime is 22116313. The next prime is 22116331. The reversal of 22116330 is 3361122.

22116330 is a `hidden beast` number, since 22 + 11 + 633 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22116331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1174 + ... + 6753.

It is an arithmetic number, because the mean of its divisors is an integer number (1236768).

Almost surely, 222116330 is an apocalyptic number.

22116330 is an abundant number, since it is smaller than the sum of its proper divisors (37248534).

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

22116330 is a wasteful number, since it uses less digits than its factorization.

22116330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 22116330 is about 4702.8002296504. The cubic root of 22116330 is about 280.6969457713.

Adding to 22116330 its reverse (3361122), we get a palindrome (25477452).

The spelling of 22116330 in words is "twenty-two million, one hundred sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 7927 15854 23781 39635 47562 71343 79270 118905 142686 237810 245737 356715 491474 713430 737211 1228685 1474422 2211633 2457370 3686055 4423266 7372110 11058165 22116330