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30211233200 = 2452592116067
BaseRepresentation
bin11100001000101110…
…101101010110110000
32212222110202122211222
4130020232231112300
5443333033430300
621513455324212
72116443150041
oct341056552660
985873678758
1030211233200
11118a34a9725
125a31820668
132b06083365
1416685128c8
15bbc451785
hex708bad5b0

30211233200 has 120 divisors (see below), whose sum is σ = 74174746560. Its totient is φ = 11821420800.

The previous prime is 30211233197. The next prime is 30211233203. The reversal of 30211233200 is 233211203.

It is an interprime number because it is at equal distance from previous prime (30211233197) and next prime (30211233203).

It is a super-2 number, since 2×302112332002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30211233203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976567 + ... + 4982633.

It is an arithmetic number, because the mean of its divisors is an integer number (618122888).

Almost surely, 230211233200 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 30211233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37087373280).

30211233200 is an abundant number, since it is smaller than the sum of its proper divisors (43963513360).

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

30211233200 is a wasteful number, since it uses less digits than its factorization.

30211233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 30211233200 its reverse (233211203), we get a palindrome (30444444403).

The spelling of 30211233200 in words is "thirty billion, two hundred eleven million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 211 236 295 400 422 472 590 844 944 1055 1180 1475 1688 2110 2360 2950 3376 4220 4720 5275 5900 6067 8440 10550 11800 12134 12449 16880 21100 23600 24268 24898 30335 42200 48536 49796 60670 62245 84400 97072 99592 121340 124490 151675 199184 242680 248980 303350 311225 357953 485360 497960 606700 622450 715906 995920 1213400 1244900 1280137 1431812 1789765 2426800 2489800 2560274 2863624 3579530 4979600 5120548 5727248 6400685 7159060 8948825 10241096 12801370 14318120 17897650 20482192 25602740 28636240 32003425 35795300 51205480 64006850 71590600 75528083 102410960 128013700 143181200 151056166 256027400 302112332 377640415 512054800 604224664 755280830 1208449328 1510561660 1888202075 3021123320 3776404150 6042246640 7552808300 15105616600 30211233200