Search a number
-
+
233030204225 = 52713432399967
BaseRepresentation
bin1101100100000110101…
…1101011101101000001
3211021111021102220121122
43121001223223231001
512304221213013400
6255015210002025
722556464024340
oct3310153535501
9737437386548
10233030204225
118a911525545
12391b5416315
1318c89412710
14b3c8b55b57
1560dd10b685
hex3641aebb41

233030204225 has 96 divisors (see below), whose sum is σ = 365469941760. Its totient is φ = 143452995840.

The previous prime is 233030204221. The next prime is 233030204227. The reversal of 233030204225 is 522402030332.

233030204225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233030204225 - 22 = 233030204221 is a prime.

It is a super-2 number, since 2×2330302042252 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233030204194 and 233030204203.

It is not an unprimeable number, because it can be changed into a prime (233030204221) 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 95 ways as a sum of consecutive naturals, for example, 23375192 + ... + 23385158.

It is an arithmetic number, because the mean of its divisors is an integer number (3806978560).

Almost surely, 2233030204225 is an apocalyptic number.

233030204225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233030204225 is a deficient number, since it is larger than the sum of its proper divisors (132439737535).

233030204225 is a wasteful number, since it uses less digits than its factorization.

233030204225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 233030204225 its reverse (522402030332), we get a palindrome (755432234557).

The spelling of 233030204225 in words is "two hundred thirty-three billion, thirty million, two hundred four thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 43 65 91 175 215 239 301 325 455 559 1075 1195 1505 1673 2275 2795 3107 3913 5975 7525 8365 9967 10277 13975 15535 19565 21749 41825 49835 51385 69769 71939 77675 97825 108745 129571 133601 249175 256925 348845 359695 428581 543725 647855 668005 906997 935207 1744225 1798475 2142905 2382113 3000067 3239275 3340025 4534985 4676035 5571553 10714525 11910565 15000335 16674791 22674925 23380175 27857765 30967469 39000871 59552825 75001675 83373955 102430859 139288825 154837345 195004355 216772283 416869775 512154295 717016013 774186725 975021775 1083861415 1331601167 2560771475 3585080065 5419307075 6658005835 9321208169 17925400325 33290029175 46606040845 233030204225