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30228288 = 263313503
BaseRepresentation
bin111001101001…
…1111101000000
32002212202102020
41303103331000
530214301123
62555521440
7514636056
oct163237500
962782366
1030228288
1116076a62
12a159280
136354b7c
14402c1d6
1529c17e3
hex1cd3f40

30228288 has 56 divisors (see below), whose sum is σ = 80394048. Its totient is φ = 10023936.

The previous prime is 30228287. The next prime is 30228307. The reversal of 30228288 is 88282203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30228281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59845 + ... + 60347.

It is an arithmetic number, because the mean of its divisors is an integer number (1435608).

Almost surely, 230228288 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 30228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40197024).

30228288 is an abundant number, since it is smaller than the sum of its proper divisors (50165760).

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

30228288 is a wasteful number, since it uses less digits than its factorization.

30228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 30228288 is about 5498.0258275130. The cubic root of 30228288 is about 311.5094196932.

The spelling of 30228288 in words is "thirty million, two hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 313 503 626 939 1006 1252 1509 1878 2012 2504 3018 3756 4024 5008 6036 7512 8048 10016 12072 15024 16096 20032 24144 30048 32192 48288 60096 96576 157439 314878 472317 629756 944634 1259512 1889268 2519024 3778536 5038048 7557072 10076096 15114144 30228288