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30226784 = 257235867
BaseRepresentation
bin111001101001…
…1100101100000
32002212200100112
41303103211200
530214224114
62555510452
7514631510
oct163234540
962780315
1030226784
1116075915
12a158428
136354293
14402b840
1529c113e
hex1cd3960

30226784 has 48 divisors (see below), whose sum is σ = 70979328. Its totient is φ = 12388992.

The previous prime is 30226783. The next prime is 30226789. The reversal of 30226784 is 48762203.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 30226784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30226783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2219 + ... + 8085.

It is an arithmetic number, because the mean of its divisors is an integer number (1478736).

Almost surely, 230226784 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 30226784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35489664).

30226784 is an abundant number, since it is smaller than the sum of its proper divisors (40752544).

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

30226784 is a wasteful number, since it uses less digits than its factorization.

30226784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 30226784 is about 5497.8890494443. The cubic root of 30226784 is about 311.5042532529.

Adding to 30226784 its reverse (48762203), we get a palindrome (78988987).

The spelling of 30226784 in words is "thirty million, two hundred twenty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 5867 11734 23468 41069 46936 82138 93872 134941 164276 187744 269882 328552 539764 657104 944587 1079528 1314208 1889174 2159056 3778348 4318112 7556696 15113392 30226784