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30228924 = 223111719709
BaseRepresentation
bin111001101010…
…0000110111100
32002212210021210
41303110012330
530214311144
62555524420
7514640655
oct163240674
962783253
1030228924
1116077490
12a159710
13635524b
14402c52c
1529c1ab9
hex1cd41bc

30228924 has 96 divisors (see below), whose sum is σ = 85881600. Its totient is φ = 8156160.

The previous prime is 30228899. The next prime is 30228929. The reversal of 30228924 is 42982203.

It is a junction number, because it is equal to n+sod(n) for n = 30228891 and 30228900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30228929) 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 31 ways as a sum of consecutive naturals, for example, 42282 + ... + 42990.

It is an arithmetic number, because the mean of its divisors is an integer number (894600).

Almost surely, 230228924 is an apocalyptic number.

30228924 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30228924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42940800).

30228924 is an abundant number, since it is smaller than the sum of its proper divisors (55652676).

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

30228924 is a wasteful number, since it uses less digits than its factorization.

30228924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 30228924 is about 5498.0836661513. The cubic root of 30228924 is about 311.5116043864.

The spelling of 30228924 in words is "thirty million, two hundred twenty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 709 748 836 969 1122 1254 1292 1418 1938 2127 2244 2508 2836 3553 3876 4254 7106 7799 8508 10659 12053 13471 14212 15598 21318 23397 24106 26942 31196 36159 40413 42636 46794 48212 53884 72318 80826 93588 132583 144636 148181 161652 229007 265166 296362 397749 444543 458014 530332 592724 687021 795498 889086 916028 1374042 1590996 1778172 2519077 2748084 5038154 7557231 10076308 15114462 30228924