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30222213320 = 23513536117977
BaseRepresentation
bin11100001001011000…
…100110000011001000
32220000020102111202002
4130021120212003020
5443343341311240
621514530530132
72116635401045
oct341130460310
986006374662
1030222213320
11118a9719202
125a35436948
132b08429080
141669b701cc
15bbd3bed15
hex7096260c8

30222213320 has 128 divisors (see below), whose sum is σ = 75839833440. Its totient is φ = 10768343040.

The previous prime is 30222213313. The next prime is 30222213397. The reversal of 30222213320 is 2331222203.

It can be written as a sum of positive squares in 16 ways, for example, as 103999204 + 30118214116 = 10198^2 + 173546^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30222213292 and 30222213301.

It is an unprimeable number.

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, 1672172 + ... + 1690148.

Almost surely, 230222213320 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 30222213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37919916720).

30222213320 is an abundant number, since it is smaller than the sum of its proper divisors (45617620120).

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

30222213320 is a wasteful number, since it uses less digits than its factorization.

30222213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18115 (or 18111 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30222213320 its reverse (2331222203), we get a palindrome (32553435523).

The spelling of 30222213320 in words is "thirty billion, two hundred twenty-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 61 65 104 106 122 130 212 244 260 265 305 424 488 520 530 610 689 793 1060 1220 1378 1586 2120 2440 2756 3172 3233 3445 3965 5512 6344 6466 6890 7930 12932 13780 15860 16165 17977 25864 27560 31720 32330 35954 42029 64660 71908 84058 89885 129320 143816 168116 179770 210145 233701 336232 359540 420290 467402 719080 840580 934804 952781 1096597 1168505 1681160 1869608 1905562 2193194 2337010 3811124 4386388 4674020 4763905 5482985 7622248 8772776 9348040 9527810 10965970 12386153 14255761 19055620 21931940 24772306 28511522 38111240 43863880 49544612 57023044 58119641 61930765 71278805 99089224 114046088 116239282 123861530 142557610 232478564 247723060 285115220 290598205 464957128 495446120 570230440 581196410 755555333 1162392820 1511110666 2324785640 3022221332 3777776665 6044442664 7555553330 15111106660 30222213320