Search a number
-
+
22329630 = 23251371811
BaseRepresentation
bin101010100101…
…1100100011110
31120000110111100
41111023210132
521204022010
62114333530
7360540651
oct125134436
946013440
1022329630
1111671644
12758a2a6
13481a8cb
142d73898
151e612c0
hex154b91e

22329630 has 48 divisors (see below), whose sum is σ = 58513104. Its totient is φ = 5907840.

The previous prime is 22329607. The next prime is 22329649. The reversal of 22329630 is 3692322.

22329630 is a `hidden beast` number, since 2 + 2 + 3 + 29 + 630 = 666.

It is a super-2 number, since 2×223296302 = 997224751873800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22329594 and 22329603.

It is a congruent number.

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, 11425 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (1219023).

Almost surely, 222329630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22329630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29256552).

22329630 is an abundant number, since it is smaller than the sum of its proper divisors (36183474).

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

22329630 is a wasteful number, since it uses less digits than its factorization.

22329630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 22329630 is about 4725.4237905187. The cubic root of 22329630 is about 281.5964500968.

The spelling of 22329630 in words is "twenty-two million, three hundred twenty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 1811 2055 2466 3622 4110 5433 6165 9055 10866 12330 16299 18110 27165 32598 54330 81495 162990 248107 496214 744321 1240535 1488642 2232963 2481070 3721605 4465926 7443210 11164815 22329630