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230540220 = 223257971607
BaseRepresentation
bin11011011110111…
…00001110111100
3121001210122201200
431233130032330
5433004241340
634513135500
75466362631
oct1557341674
9531718650
10230540220
11109152309
126525a590
13389bb141
1422892188
151538d330
hexdbdc3bc

230540220 has 72 divisors (see below), whose sum is σ = 700618464. Its totient is φ = 61362048.

The previous prime is 230540203. The next prime is 230540279. The reversal of 230540220 is 22045032.

230540220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 230540193 and 230540202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142657 + ... + 144263.

It is an arithmetic number, because the mean of its divisors is an integer number (9730812).

Almost surely, 2230540220 is an apocalyptic number.

230540220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230540220 is an abundant number, since it is smaller than the sum of its proper divisors (470078244).

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

230540220 is a wasteful number, since it uses less digits than its factorization.

230540220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2414 counting only the distinct ones).

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

The square root of 230540220 is about 15183.5509680707. The cubic root of 230540220 is about 613.1718863290.

Adding to 230540220 its reverse (22045032), we get a palindrome (252585252).

The spelling of 230540220 in words is "two hundred thirty million, five hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 797 1594 1607 2391 3188 3214 3985 4782 4821 6428 7173 7970 8035 9564 9642 11955 14346 14463 15940 16070 19284 23910 24105 28692 28926 32140 35865 47820 48210 57852 71730 72315 96420 143460 144630 289260 1280779 2561558 3842337 5123116 6403895 7684674 11527011 12807790 15369348 19211685 23054022 25615580 38423370 46108044 57635055 76846740 115270110 230540220