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1224000564 = 2232915123293
BaseRepresentation
bin100100011110100…
…1100010000110100
310011022011200010020
41020331030100310
510001321004224
6321242325140
742221555523
oct11075142064
93138150106
101224000564
11578a09816
122a1ab97b0
131667787b7
14b87ba4ba
15726cbc79
hex48f4c434

1224000564 has 48 divisors (see below), whose sum is σ = 2974177920. Its totient is φ = 391305600.

The previous prime is 1224000509. The next prime is 1224000601. The reversal of 1224000564 is 4650004221.

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 15 ways as a sum of consecutive naturals, for example, 40902 + ... + 64194.

It is an arithmetic number, because the mean of its divisors is an integer number (61962040).

Almost surely, 21224000564 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 1224000564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487088960).

1224000564 is an abundant number, since it is smaller than the sum of its proper divisors (1750177356).

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

1224000564 is a wasteful number, since it uses less digits than its factorization.

1224000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23480 (or 23478 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1224000564 is about 34985.7194295044. The cubic root of 1224000564 is about 1069.6964125476.

Adding to 1224000564 its reverse (4650004221), we get a palindrome (5874004785).

The spelling of 1224000564 in words is "one billion, two hundred twenty-four million, five hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 29 58 87 116 151 174 302 348 453 604 906 1812 4379 8758 13137 17516 23293 26274 46586 52548 69879 93172 139758 279516 675497 1350994 2026491 2701988 3517243 4052982 7034486 8105964 10551729 14068972 21103458 42206916 102000047 204000094 306000141 408000188 612000282 1224000564