Search a number
-
+
230220023000 = 235311107195599
BaseRepresentation
bin1101011001101000101…
…1101100010011011000
3211000020102120220200112
43112122023230103120
512232442311214000
6253432302023452
722430031623222
oct3263213542330
9730212526615
10230220023000
11896aa223820
1238750277b88
131892c15c2a6
14b1dd841412
155ec6560235
hex359a2ec4d8

230220023000 has 128 divisors (see below), whose sum is σ = 593184384000. Its totient is φ = 82933552000.

The previous prime is 230220022931. The next prime is 230220023009. The reversal of 230220023000 is 320022032.

230220023000 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 (230220023009) 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 31 ways as a sum of consecutive naturals, for example, 1079201 + ... + 1274799.

It is an arithmetic number, because the mean of its divisors is an integer number (4634253000).

Almost surely, 2230220023000 is an apocalyptic number.

230220023000 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 230220023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296592192000).

230220023000 is an abundant number, since it is smaller than the sum of its proper divisors (362964361000).

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

230220023000 is a wasteful number, since it uses less digits than its factorization.

230220023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195738 (or 195724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 230220023000 its reverse (320022032), we get a palindrome (230540045032).

The spelling of 230220023000 in words is "two hundred thirty billion, two hundred twenty million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 125 200 214 220 250 275 428 440 500 535 550 856 1000 1070 1100 1177 1375 2140 2200 2354 2675 2750 4280 4708 5350 5500 5885 9416 10700 11000 11770 13375 21400 23540 26750 29425 47080 53500 58850 107000 117700 147125 195599 235400 294250 391198 588500 782396 977995 1177000 1564792 1955990 2151589 3911980 4303178 4889975 7823960 8606356 9779950 10757945 17212712 19559900 20929093 21515890 24449875 39119800 41858186 43031780 48899750 53789725 83716372 86063560 97799500 104645465 107579450 167432744 195599000 209290930 215158900 230220023 268948625 418581860 430317800 460440046 523227325 537897250 837163720 920880092 1046454650 1075794500 1151100115 1841760184 2092909300 2151589000 2302200230 2616136625 4185818600 4604400460 5232273250 5755500575 9208800920 10464546500 11511001150 20929093000 23022002300 28777502875 46044004600 57555005750 115110011500 230220023000