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230205240 = 23345227313
BaseRepresentation
bin11011011100010…
…10011100111000
3121001011122020000
431232022130320
5432413031430
634502033000
75463466206
oct1556123470
9531148200
10230205240
11108a43671
1265118760
1338901825
1422806076
1515323e60
hexdb8a738

230205240 has 160 divisors (see below), whose sum is σ = 779636880. Its totient is φ = 60922368.

The previous prime is 230205223. The next prime is 230205253. The reversal of 230205240 is 42502032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 735324 + ... + 735636.

Almost surely, 2230205240 is an apocalyptic number.

230205240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389818440).

230205240 is an abundant number, since it is smaller than the sum of its proper divisors (549431640).

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

230205240 is a wasteful number, since it uses less digits than its factorization.

230205240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 230205240 is about 15172.5159416624. The cubic root of 230205240 is about 612.8747583013.

Adding to 230205240 its reverse (42502032), we get a palindrome (272707272).

The spelling of 230205240 in words is "two hundred thirty million, two hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 227 270 313 324 360 405 454 540 626 648 681 810 908 939 1080 1135 1252 1362 1565 1620 1816 1878 2043 2270 2504 2724 2817 3130 3240 3405 3756 4086 4540 4695 5448 5634 6129 6260 6810 7512 8172 8451 9080 9390 10215 11268 12258 12520 13620 14085 16344 16902 18387 18780 20430 22536 24516 25353 27240 28170 30645 33804 36774 37560 40860 42255 49032 50706 56340 61290 67608 71051 73548 81720 84510 91935 101412 112680 122580 126765 142102 147096 169020 183870 202824 213153 245160 253530 284204 338040 355255 367740 426306 507060 568408 639459 710510 735480 852612 1014120 1065765 1278918 1421020 1705224 1918377 2131530 2557836 2842040 3197295 3836754 4263060 5115672 5755131 6394590 7673508 8526120 9591885 11510262 12789180 15347016 19183770 23020524 25578360 28775655 38367540 46041048 57551310 76735080 115102620 230205240