Search a number
-
+
22011012 = 22324359241
BaseRepresentation
bin101001111110…
…1110010000100
31112102021102200
41103331302010
521113323022
62103434500
7355043022
oct123756204
945367380
1022011012
1111474221
127455a30
13473888a
142ccd712
151debbac
hex14fdc84

22011012 has 72 divisors (see below), whose sum is σ = 58138080. Its totient is φ = 7015680.

The previous prime is 22011001. The next prime is 22011037. The reversal of 22011012 is 21011022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22010985 and 22011003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91212 + ... + 91452.

Almost surely, 222011012 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 22011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29069040).

22011012 is an abundant number, since it is smaller than the sum of its proper divisors (36127068).

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

22011012 is a wasteful number, since it uses less digits than its factorization.

22011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 22011012 is about 4691.5894961090. The cubic root of 22011012 is about 280.2506768690.

Adding to 22011012 its reverse (21011022), we get a palindrome (43022034).

The spelling of 22011012 in words is "twenty-two million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 59 86 118 129 172 177 236 241 258 354 387 482 516 531 708 723 774 964 1062 1446 1548 2124 2169 2537 2892 4338 5074 7611 8676 10148 10363 14219 15222 20726 22833 28438 30444 31089 41452 42657 45666 56876 62178 85314 91332 93267 124356 127971 170628 186534 255942 373068 511884 611417 1222834 1834251 2445668 3668502 5502753 7337004 11005506 22011012