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30432433220 = 22577110130313
BaseRepresentation
bin11100010101111010…
…100001010001000100
32220112212222210020022
4130111322201101010
5444311200330340
621551440354312
72125100262050
oct342572412104
986485883208
1030432433220
11119a7351562
125a93915998
132b3cb51047
141689a52c60
15bd1a973b5
hex715ea1444

30432433220 has 96 divisors (see below), whose sum is σ = 74802341376. Its totient is φ = 10184832000.

The previous prime is 30432433211. The next prime is 30432433223. The reversal of 30432433220 is 2233423403.

It is a super-2 number, since 2×304324332202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30432433220.

It is not an unprimeable number, because it can be changed into a prime (30432433223) 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, 988784 + ... + 1019096.

It is an arithmetic number, because the mean of its divisors is an integer number (779191056).

Almost surely, 230432433220 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 30432433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37401170688).

30432433220 is an abundant number, since it is smaller than the sum of its proper divisors (44369908156).

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

30432433220 is a wasteful number, since it uses less digits than its factorization.

30432433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30501 (or 30499 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 30432433220 its reverse (2233423403), we get a palindrome (32665856623).

The spelling of 30432433220 in words is "thirty billion, four hundred thirty-two million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 101 140 142 202 284 355 404 497 505 707 710 994 1010 1414 1420 1988 2020 2485 2828 3535 4970 7070 7171 9940 14140 14342 28684 30313 35855 50197 60626 71710 100394 121252 143420 151565 200788 212191 250985 303130 424382 501970 606260 848764 1003940 1060955 2121910 2152223 3061613 4243820 4304446 6123226 8608892 10761115 12246452 15065561 15308065 21431291 21522230 30131122 30616130 42862582 43044460 60262244 61232260 75327805 85725164 107156455 150655610 214312910 217374523 301311220 428625820 434749046 869498092 1086872615 1521621661 2173745230 3043243322 4347490460 6086486644 7608108305 15216216610 30432433220