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22328856 = 2332113233
BaseRepresentation
bin101010100101…
…1011000011000
31120000102102200
41111023120120
521204010411
62114330200
7360535464
oct125133030
946012380
1022328856
1111671000
127589960
13481a454
142d734a4
151e60e56
hex154b618

22328856 has 96 divisors (see below), whose sum is σ = 66802320. Its totient is φ = 6737280.

The previous prime is 22328851. The next prime is 22328879. The reversal of 22328856 is 65882322.

It is a super-3 number, since 3×223288563 (a number of 23 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22328856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95716 + ... + 95948.

Almost surely, 222328856 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 22328856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33401160).

22328856 is an abundant number, since it is smaller than the sum of its proper divisors (44473464).

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

22328856 is a wasteful number, since it uses less digits than its factorization.

22328856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 249 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 22328856 is about 4725.3418923925. The cubic root of 22328856 is about 281.5931964502.

The spelling of 22328856 in words is "twenty-two million, three hundred twenty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 233 242 264 363 396 466 484 699 726 792 932 968 1089 1331 1398 1452 1864 2097 2178 2563 2662 2796 2904 3993 4194 4356 5126 5324 5592 7689 7986 8388 8712 10252 10648 11979 15378 15972 16776 20504 23067 23958 28193 30756 31944 46134 47916 56386 61512 84579 92268 95832 112772 169158 184536 225544 253737 310123 338316 507474 620246 676632 930369 1014948 1240492 1860738 2029896 2480984 2791107 3721476 5582214 7442952 11164428 22328856