Search a number
-
+
30226584 = 23329137317
BaseRepresentation
bin111001101001…
…1100010011000
32002212200002010
41303103202120
530214222314
62555505520
7514631103
oct163234230
962780063
1030226584
1116075753
12a1582a0
13635416b
14402b73a
1529c1059
hex1cd3898

30226584 has 64 divisors (see below), whose sum is σ = 78991200. Its totient is φ = 9626624.

The previous prime is 30226583. The next prime is 30226627. The reversal of 30226584 is 48562203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30226583) 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, 95194 + ... + 95510.

Almost surely, 230226584 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 30226584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39495600).

30226584 is an abundant number, since it is smaller than the sum of its proper divisors (48764616).

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

30226584 is a wasteful number, since it uses less digits than its factorization.

30226584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 30226584 is about 5497.8708606150. The cubic root of 30226584 is about 311.5035662133.

Adding to 30226584 its reverse (48562203), we get a palindrome (78788787).

The spelling of 30226584 in words is "thirty million, two hundred twenty-six thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 137 174 232 274 317 348 411 548 634 696 822 951 1096 1268 1644 1902 2536 3288 3804 3973 7608 7946 9193 11919 15892 18386 23838 27579 31784 36772 43429 47676 55158 73544 86858 95352 110316 130287 173716 220632 260574 347432 521148 1042296 1259441 2518882 3778323 5037764 7556646 10075528 15113292 30226584