Search a number
-
+
22613632 = 273141139
BaseRepresentation
bin101011001000…
…0111010000000
31120112220001221
41112100322000
521242114012
62124404424
7363132646
oct126207200
946486057
1022613632
1111845a58
1276a6714
1348b9c62
143009196
151eba507
hex1590e80

22613632 has 64 divisors (see below), whose sum is σ = 47980800. Its totient is φ = 10598400.

The previous prime is 22613611. The next prime is 22613651. The reversal of 22613632 is 23631622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×226136322 = 1022752704462848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22613597 and 22613606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162619 + ... + 162757.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 222613632 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 22613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990400).

22613632 is an abundant number, since it is smaller than the sum of its proper divisors (25367168).

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

22613632 is a wasteful number, since it uses less digits than its factorization.

22613632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 22613632 is about 4755.3792698375. The cubic root of 22613632 is about 282.7852633152.

The spelling of 22613632 in words is "twenty-two million, six hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 139 164 248 278 328 496 556 656 992 1112 1271 1312 1984 2224 2542 2624 3968 4309 4448 5084 5248 5699 8618 8896 10168 11398 17236 17792 20336 22796 34472 40672 45592 68944 81344 91184 137888 162688 176669 182368 275776 353338 364736 551552 706676 729472 1413352 2826704 5653408 11306816 22613632