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564814230 = 23571283937
BaseRepresentation
bin100001101010100…
…110000110010110
31110100210112110120
4201222212012112
52124043023410
6132013532410
716665561501
oct4152460626
91410715416
10564814230
1126a906322
121391a4106
1390029406
1455028138
15348bc570
hex21aa6196

564814230 has 64 divisors (see below), whose sum is σ = 1380976128. Its totient is φ = 147813120.

The previous prime is 564814223. The next prime is 564814249. The reversal of 564814230 is 32418465.

It is a super-2 number, since 2×5648142302 = 638030228820985800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564814191 and 564814200.

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 31 ways as a sum of consecutive naturals, for example, 602322 + ... + 603258.

It is an arithmetic number, because the mean of its divisors is an integer number (21577752).

Almost surely, 2564814230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564814230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690488064).

564814230 is an abundant number, since it is smaller than the sum of its proper divisors (816161898).

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

564814230 is a wasteful number, since it uses less digits than its factorization.

564814230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 564814230 is about 23765.8206254276. The cubic root of 564814230 is about 826.6123253460.

The spelling of 564814230 in words is "five hundred sixty-four million, eight hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 283 355 426 566 710 849 937 1065 1415 1698 1874 2130 2811 2830 4245 4685 5622 8490 9370 14055 20093 28110 40186 60279 66527 100465 120558 133054 199581 200930 265171 301395 332635 399162 530342 602790 665270 795513 997905 1325855 1591026 1995810 2651710 3977565 7955130 18827141 37654282 56481423 94135705 112962846 188271410 282407115 564814230