Search a number
-
+
22421556 = 22333137181
BaseRepresentation
bin101010110001…
…0000000110100
31120012010121000
41111202000310
521214442211
62120323300
7361402653
oct125420064
946163530
1022421556
1111724713
127613530
1348506c1
142d9919a
151e7d656
hex1562034

22421556 has 96 divisors (see below), whose sum is σ = 61967360. Its totient is φ = 6998400.

The previous prime is 22421551. The next prime is 22421561. The reversal of 22421556 is 65512422.

22421556 is a nontrivial binomial coefficient, being equal to C(6697, 2).

It is an interprime number because it is at equal distance from previous prime (22421551) and next prime (22421561).

It is a super-2 number, since 2×224215562 = 1005452346922272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22421551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123786 + ... + 123966.

Almost surely, 222421556 is an apocalyptic number.

22421556 is the 6696-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22421556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30983680).

22421556 is an abundant number, since it is smaller than the sum of its proper divisors (39545804).

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

22421556 is a wasteful number, since it uses less digits than its factorization.

22421556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 22421556 is about 4735.1405470165. The cubic root of 22421556 is about 281.9823438470.

Adding to 22421556 its reverse (65512422), we get a palindrome (87933978).

The spelling of 22421556 in words is "twenty-two million, four hundred twenty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 37 54 62 74 93 108 111 124 148 181 186 222 279 333 362 372 444 543 558 666 724 837 999 1086 1116 1147 1332 1629 1674 1998 2172 2294 3258 3348 3441 3996 4588 4887 5611 6516 6697 6882 9774 10323 11222 13394 13764 16833 19548 20091 20646 22444 26788 30969 33666 40182 41292 50499 60273 61938 67332 80364 100998 120546 123876 151497 180819 201996 207607 241092 302994 361638 415214 605988 622821 723276 830428 1245642 1868463 2491284 3736926 5605389 7473852 11210778 22421556