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22666632 = 2332921123
BaseRepresentation
bin101011001110…
…1110110001000
31120122120202220
41112131312020
521300313012
62125454040
7363443322
oct126356610
946576686
1022666632
111188185a
127711320
134908111
143020612
151ecb08c
hex159dd88

22666632 has 48 divisors (see below), whose sum is σ = 58740240. Its totient is φ = 7288512.

The previous prime is 22666621. The next prime is 22666663. The reversal of 22666632 is 23666622.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22666593 and 22666602.

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 11 ways as a sum of consecutive naturals, for example, 19623 + ... + 20745.

It is an arithmetic number, because the mean of its divisors is an integer number (1223755).

Almost surely, 222666632 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 22666632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29370120).

22666632 is an abundant number, since it is smaller than the sum of its proper divisors (36073608).

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

22666632 is a wasteful number, since it uses less digits than its factorization.

22666632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1157 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 22666632 is about 4760.9486449656. The cubic root of 22666632 is about 283.0060140148.

The spelling of 22666632 in words is "twenty-two million, six hundred sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 841 1123 1682 2246 2523 3364 3369 4492 5046 6728 6738 8984 10092 13476 20184 26952 32567 65134 97701 130268 195402 260536 390804 781608 944443 1888886 2833329 3777772 5666658 7555544 11333316 22666632