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245556630 = 233511292851
BaseRepresentation
bin11101010001011…
…10010110010110
3122010001120101000
432220232112112
51000330303010
640211044130
76041124354
oct1650562626
9563046330
10245556630
11116679370
126a2a0646
133bb480a7
14248807d4
15168577c0
hexea2e596

245556630 has 128 divisors (see below), whose sum is σ = 739238400. Its totient is φ = 57456000.

The previous prime is 245556613. The next prime is 245556631. The reversal of 245556630 is 36655542.

It is a happy number.

245556630 is a `hidden beast` number, since 2 + 45 + 556 + 63 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245556631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84705 + ... + 87555.

It is an arithmetic number, because the mean of its divisors is an integer number (5775300).

Almost surely, 2245556630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245556630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369619200).

245556630 is an abundant number, since it is smaller than the sum of its proper divisors (493681770).

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

245556630 is a wasteful number, since it uses less digits than its factorization.

245556630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 245556630 is about 15670.2466477079. The cubic root of 245556630 is about 626.2059956889.

The spelling of 245556630 in words is "two hundred forty-five million, five hundred fifty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 165 174 198 261 270 290 297 319 330 435 495 522 594 638 783 870 957 990 1305 1485 1566 1595 1914 2610 2851 2871 2970 3190 3915 4785 5702 5742 7830 8553 8613 9570 14255 14355 17106 17226 25659 28510 28710 31361 42765 43065 51318 62722 76977 82679 85530 86130 94083 128295 153954 156805 165358 188166 248037 256590 282249 313610 384885 413395 470415 496074 564498 744111 769770 826790 846747 909469 940830 1240185 1411245 1488222 1693494 1818938 2232333 2480370 2728407 2822490 3720555 4233735 4464666 4547345 5456814 7441110 8185221 8467470 9094690 11161665 13642035 16370442 22323330 24555663 27284070 40926105 49111326 81852210 122778315 245556630