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230204240 = 24572361293
BaseRepresentation
bin11011011100010…
…10001101010000
3121001011120211222
431232022031100
5432413013430
634502024212
75463463250
oct1556121520
9531146758
10230204240
11108a42942
1265118068
1338901236
1422805960
15153239e5
hexdb8a350

230204240 has 160 divisors (see below), whose sum is σ = 650958336. Its totient is φ = 74004480.

The previous prime is 230204237. The next prime is 230204267. The reversal of 230204240 is 42402032.

It is a super-2 number, since 2×2302042402 = 105987984227955200, which contains 22 as substring.

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, 785534 + ... + 785826.

Almost surely, 2230204240 is an apocalyptic number.

230204240 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 230204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325479168).

230204240 is an abundant number, since it is smaller than the sum of its proper divisors (420754096).

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

230204240 is a wasteful number, since it uses less digits than its factorization.

230204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 230204240 is about 15172.4829873030. The cubic root of 230204240 is about 612.8738708676.

Adding to 230204240 its reverse (42402032), we get a palindrome (272606272).

The spelling of 230204240 in words is "two hundred thirty million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 61 70 80 92 112 115 122 140 161 184 230 244 280 293 305 322 368 427 460 488 560 586 610 644 805 854 920 976 1172 1220 1288 1403 1465 1610 1708 1840 2051 2135 2344 2440 2576 2806 2930 3220 3416 4102 4270 4688 4880 5612 5860 6440 6739 6832 7015 8204 8540 9821 10255 11224 11720 12880 13478 14030 16408 17080 17873 19642 20510 22448 23440 26956 28060 32816 33695 34160 35746 39284 41020 47173 49105 53912 56120 67390 71492 78568 82040 89365 94346 98210 107824 112240 125111 134780 142984 157136 164080 178730 188692 196420 235865 250222 269560 285968 357460 377384 392840 411079 471730 500444 539120 625555 714920 754768 785680 822158 943460 1000888 1251110 1429840 1644316 1886920 2001776 2055395 2502220 2877553 3288632 3773840 4110790 5004440 5755106 6577264 8221580 10008880 11510212 14387765 16443160 23020424 28775530 32886320 46040848 57551060 115102120 230204240