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22676328 = 2333277379
BaseRepresentation
bin101011010000…
…0001101101000
31120200002002000
41112200031220
521301120303
62130011000
7363513513
oct126401550
946602060
1022676328
1111889074
127716a60
13490c65c
143023d7a
151ecdda3
hex15a0368

22676328 has 64 divisors (see below), whose sum is σ = 63384000. Its totient is φ = 7511616.

The previous prime is 22676327. The next prime is 22676333. The reversal of 22676328 is 82367622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22676292 and 22676301.

It is not an unprimeable number, because it can be changed into a prime (22676327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59643 + ... + 60021.

It is an arithmetic number, because the mean of its divisors is an integer number (990375).

Almost surely, 222676328 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 22676328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31692000).

22676328 is an abundant number, since it is smaller than the sum of its proper divisors (40707672).

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

22676328 is a wasteful number, since it uses less digits than its factorization.

22676328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 661 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22676328 is about 4761.9668205480. The cubic root of 22676328 is about 283.0463616521.

The spelling of 22676328 in words is "twenty-two million, six hundred seventy-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 277 379 554 758 831 1108 1137 1516 1662 2216 2274 2493 3032 3324 3411 4548 4986 6648 6822 7479 9096 9972 10233 13644 14958 19944 20466 27288 29916 40932 59832 81864 104983 209966 314949 419932 629898 839864 944847 1259796 1889694 2519592 2834541 3779388 5669082 7558776 11338164 22676328