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25230440430 = 23251383259813
BaseRepresentation
bin10111011111110110…
…011111011111101110
32102010100112011122200
4113133312133133232
5403132443043210
615331331522330
71552143130236
oct273766373756
972110464580
1025230440430
11a777a20368
124a817593a6
1324c11bb0c0
141314c10cc6
159ca0410c0
hex5dfd9f7ee

25230440430 has 96 divisors (see below), whose sum is σ = 71496655776. Its totient is φ = 6135720192.

The previous prime is 25230440371. The next prime is 25230440437. The reversal of 25230440430 is 3404403252.

25230440430 is a `hidden beast` number, since 25 + 230 + 4 + 404 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25230440394 and 25230440403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25230440437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32797 + ... + 227016.

It is an arithmetic number, because the mean of its divisors is an integer number (744756831).

Almost surely, 225230440430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25230440430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35748327888).

25230440430 is an abundant number, since it is smaller than the sum of its proper divisors (46266215346).

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

25230440430 is a wasteful number, since it uses less digits than its factorization.

25230440430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259922 (or 259919 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 25230440430 its reverse (3404403252), we get a palindrome (28634843682).

The spelling of 25230440430 in words is "twenty-five billion, two hundred thirty million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 83 90 117 130 166 195 234 249 390 415 498 585 747 830 1079 1170 1245 1494 2158 2490 3237 3735 5395 6474 7470 9711 10790 16185 19422 32370 48555 97110 259813 519626 779439 1299065 1558878 2338317 2598130 3377569 3897195 4676634 6755138 7794390 10132707 11691585 16887845 20265414 21564479 23383170 30398121 33775690 43128958 50663535 60796242 64693437 101327070 107822395 129386874 151990605 194080311 215644790 280338227 303981210 323467185 388160622 560676454 646934370 841014681 970401555 1401691135 1682029362 1940803110 2523044043 2803382270 4205073405 5046088086 8410146810 12615220215 25230440430