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30202300232 = 23131789367523
BaseRepresentation
bin11100001000001100…
…101000011101001000
32212221211221211010022
4130020030220131020
5443323242101412
621512540040012
72116304213306
oct341014503510
985854854108
1030202300232
1111899458205
125a2a833008
132b04276390
141667269276
15bbb789a72
hex708328748

30202300232 has 128 divisors (see below), whose sum is σ = 65601446400. Its totient is φ = 12912058368.

The previous prime is 30202300189. The next prime is 30202300237. The reversal of 30202300232 is 23200320203.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 30202300232.

It is not an unprimeable number, because it can be changed into a prime (30202300237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57747923 + ... + 57748445.

It is an arithmetic number, because the mean of its divisors is an integer number (512511300).

Almost surely, 230202300232 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 30202300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32800723200).

30202300232 is an abundant number, since it is smaller than the sum of its proper divisors (35399146168).

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

30202300232 is a wasteful number, since it uses less digits than its factorization.

30202300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 30202300232 its reverse (23200320203), we get a palindrome (53402620435).

The spelling of 30202300232 in words is "thirty billion, two hundred two million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 89 104 136 178 221 356 367 442 523 712 734 884 1046 1157 1468 1513 1768 2092 2314 2936 3026 4184 4628 4771 6052 6239 6799 8891 9256 9542 12104 12478 13598 17782 19084 19669 24956 27196 32663 35564 38168 39338 46547 49912 54392 65326 71128 78676 81107 93094 115583 130652 157352 162214 186188 191941 231166 261304 324428 372376 383882 424619 462332 555271 605111 648856 767764 791299 849238 924664 1110542 1210222 1535528 1582598 1698476 2221084 2420444 2495233 3165196 3262997 3396952 4442168 4840888 4990466 6330392 6525994 7218523 9980932 10286887 13051988 14437046 17082749 19961864 20573774 26103976 28874092 34165498 41147548 42418961 57748184 68330996 82295096 84837922 136661992 169675844 222075737 290406733 339351688 444151474 580813466 888302948 1161626932 1776605896 2323253864 3775287529 7550575058 15101150116 30202300232