Search a number
-
+
30425216600 = 23522931169217
BaseRepresentation
bin11100010101011110…
…111111011001011000
32220112101102010220002
4130111132333121120
5444302323412400
621551021552132
72124652034252
oct342536773130
986471363802
1030425216600
11119a3272609
125a91415648
132b3b4c535c
141688ad4cd2
15bd111ded5
hex7157bf658

30425216600 has 96 divisors (see below), whose sum is σ = 75538915200. Its totient is φ = 11371315200.

The previous prime is 30425216599. The next prime is 30425216609. The reversal of 30425216600 is 661252403.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30425216609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95192 + ... + 264408.

It is an arithmetic number, because the mean of its divisors is an integer number (786863700).

Almost surely, 230425216600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30425216600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37769457600).

30425216600 is an abundant number, since it is smaller than the sum of its proper divisors (45113698600).

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

30425216600 is a wasteful number, since it uses less digits than its factorization.

30425216600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169293 (or 169284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 30425216600 in words is "thirty billion, four hundred twenty-five million, two hundred sixteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 29 31 40 50 58 62 100 116 124 145 155 200 232 248 290 310 580 620 725 775 899 1160 1240 1450 1550 1798 2900 3100 3596 4495 5800 6200 7192 8990 17980 22475 35960 44950 89900 169217 179800 338434 676868 846085 1353736 1692170 3384340 4230425 4907293 5245727 6768680 8460850 9814586 10491454 16921700 19629172 20982908 24536465 26228635 33843400 39258344 41965816 49072930 52457270 98145860 104914540 122682325 131143175 152126083 196291720 209829080 245364650 262286350 304252166 490729300 524572700 608504332 760630415 981458600 1049145400 1217008664 1521260830 3042521660 3803152075 6085043320 7606304150 15212608300 30425216600