Search a number
-
+
230250240450120 = 233511983177448627
BaseRepresentation
bin110100010110100101001111…
…110010101001111001001000
31010012020201010010212210201210
4310112211033302221321020
5220134404443023400440
62133411300014013120
766333013413522402
oct6426451762517110
91105221103783653
10230250240450120
1167401640139360
12219a80577a71a0
139b62673537997
1440c02576d3b72
151b9450cd2ba80
hexd1694fca9e48

230250240450120 has 128 divisors (see below), whose sum is σ = 754312823792640. Its totient is φ = 55761456234240.

The previous prime is 230250240450107. The next prime is 230250240450127. The reversal of 230250240450120 is 21054042052032.

230250240450120 is digitally balanced in base 2, 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 (30).

It is not an unprimeable number, because it can be changed into a prime (230250240450127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87426754 + ... + 90021873.

It is an arithmetic number, because the mean of its divisors is an integer number (5893068935880).

Almost surely, 2230250240450120 is an apocalyptic number.

230250240450120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230250240450120 is an abundant number, since it is smaller than the sum of its proper divisors (524062583342520).

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

230250240450120 is a wasteful number, since it uses less digits than its factorization.

230250240450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177449635 (or 177449631 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 230250240450120 in words is "two hundred thirty trillion, two hundred fifty billion, two hundred forty million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 983 1320 1966 2949 3932 4915 5898 7864 9830 10813 11796 14745 19660 21626 23592 29490 32439 39320 43252 54065 58980 64878 86504 108130 117960 129756 162195 216260 259512 324390 432520 648780 1297560 177448627 354897254 532345881 709794508 887243135 1064691762 1419589016 1774486270 1951934897 2129383524 2661729405 3548972540 3903869794 4258767048 5323458810 5855804691 7097945080 7807739588 9759674485 10646917620 11711609382 15615479176 19519348970 21293835240 23423218764 29279023455 39038697940 46846437528 58558046910 78077395880 117116093820 174432000341 234232187640 348864000682 523296001023 697728001364 872160001705 1046592002046 1395456002728 1744320003410 1918752003751 2093184004092 2616480005115 3488640006820 3837504007502 4186368008184 5232960010230 5756256011253 6977280013640 7675008015004 9593760018755 10465920020460 11512512022506 15350016030008 19187520037510 20931840040920 23025024045012 28781280056265 38375040075020 46050048090024 57562560112530 76750080150040 115125120225060 230250240450120