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230235137140 = 22529259232003
BaseRepresentation
bin1101011001101100010…
…1010110010001110100
3211000021111000210101111
43112123011112101310
512233010143342030
6253434002004404
722430304242611
oct3263305262164
9730244023344
10230235137140
1189707807248
1238755346704
1318932321878
14b201857508
155ec7a4862a
hex359b156474

230235137140 has 72 divisors (see below), whose sum is σ = 509230219680. Its totient is φ = 87410929536.

The previous prime is 230235137131. The next prime is 230235137147. The reversal of 230235137140 is 41731532032.

230235137140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230235137147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876379 + ... + 1108381.

It is an arithmetic number, because the mean of its divisors is an integer number (7072641940).

Almost surely, 2230235137140 is an apocalyptic number.

230235137140 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 230235137140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254615109840).

230235137140 is an abundant number, since it is smaller than the sum of its proper divisors (278995082540).

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

230235137140 is a wasteful number, since it uses less digits than its factorization.

230235137140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232129 (or 232098 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 230235137140 its reverse (41731532032), we get a palindrome (271966669172).

The spelling of 230235137140 in words is "two hundred thirty billion, two hundred thirty-five million, one hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 580 590 841 1180 1682 1711 3364 3422 4205 6844 8410 8555 16820 17110 34220 49619 99238 198476 232003 248095 464006 496190 928012 992380 1160015 2320030 4640060 6728087 13456174 13688177 26912348 27376354 33640435 54752708 67280870 68440885 134561740 136881770 195114523 273763540 390229046 396957133 780458092 793914266 975572615 1587828532 1951145230 1984785665 3902290460 3969571330 7939142660 11511756857 23023513714 46047027428 57558784285 115117568570 230235137140