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30232233300 = 22352239557757
BaseRepresentation
bin11100001001111110…
…110100010101010100
32220000221021120120110
4130021332310111110
5443403422431200
621515525403020
72120116512603
oct341176642524
986027246513
1030232233300
1111904342385
125a38869470
132b0a526a59
14166b21ba3a
15bbe1edb50
hex709fb4554

30232233300 has 144 divisors (see below), whose sum is σ = 88111860480. Its totient is φ = 8003197440.

The previous prime is 30232233289. The next prime is 30232233301. The reversal of 30232233300 is 333223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30232233301) 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, 39936522 + ... + 39937278.

It is an arithmetic number, because the mean of its divisors is an integer number (611887920).

Almost surely, 230232233300 is an apocalyptic number.

30232233300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30232233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44055930240).

30232233300 is an abundant number, since it is smaller than the sum of its proper divisors (57879627180).

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

30232233300 is a wasteful number, since it uses less digits than its factorization.

30232233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 30232233300 its reverse (333223203), we get a palindrome (30565456503).

The spelling of 30232233300 in words is "thirty billion, two hundred thirty-two million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 239 300 478 557 717 757 956 1114 1195 1434 1514 1671 2228 2271 2390 2785 2868 3028 3342 3585 3785 4542 4780 5570 5975 6684 7170 7570 8355 9084 11140 11355 11950 13925 14340 15140 16710 17925 18925 22710 23900 27850 33420 35850 37850 41775 45420 55700 56775 71700 75700 83550 113550 133123 167100 180923 227100 266246 361846 399369 421649 532492 542769 665615 723692 798738 843298 904615 1085538 1264947 1331230 1597476 1686596 1809230 1996845 2108245 2171076 2529894 2662460 2713845 3328075 3618460 3993690 4216490 4523075 5059788 5427690 6324735 6656150 7987380 8432980 9046150 9984225 10541225 10855380 12649470 13312300 13569225 18092300 19968450 21082450 25298940 27138450 31623675 39936900 42164900 54276900 63247350 100774111 126494700 201548222 302322333 403096444 503870555 604644666 1007741110 1209289332 1511611665 2015482220 2519352775 3023223330 5038705550 6046446660 7558058325 10077411100 15116116650 30232233300