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30522564 = 223223191193
BaseRepresentation
bin111010001101…
…1110011000100
32010102201002100
41310123303010
530303210224
63010112100
7520303032
oct164336304
963381070
1030522564
1116258066
12a27b630
136428ab7
1440a7552
152a2dac9
hex1d1bcc4

30522564 has 72 divisors (see below), whose sum is σ = 81349632. Its totient is φ = 9630720.

The previous prime is 30522553. The next prime is 30522577. The reversal of 30522564 is 46522503.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 158052 + ... + 158244.

It is an arithmetic number, because the mean of its divisors is an integer number (1129856).

Almost surely, 230522564 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 30522564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40674816).

30522564 is an abundant number, since it is smaller than the sum of its proper divisors (50827068).

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

30522564 is a wasteful number, since it uses less digits than its factorization.

30522564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 30522564 is about 5524.7229794805. The cubic root of 30522564 is about 312.5170175266.

The spelling of 30522564 in words is "thirty million, five hundred twenty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 191 193 207 276 382 386 414 573 579 764 772 828 1146 1158 1719 1737 2292 2316 3438 3474 4393 4439 6876 6948 8786 8878 13179 13317 17572 17756 26358 26634 36863 39537 39951 52716 53268 73726 79074 79902 110589 147452 158148 159804 221178 331767 442356 663534 847849 1327068 1695698 2543547 3391396 5087094 7630641 10174188 15261282 30522564