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30222220120 = 23537414710597
BaseRepresentation
bin11100001001011000…
…100111101101011000
32220000020102212001221
4130021120213231120
5443343342020440
621514531021424
72116635426631
oct341130475530
986006385057
1030222220120
11118a9723324
125a3543a874
132b0842c1b1
141669b72888
15bbd3c1d4a
hex709627b58

30222220120 has 128 divisors (see below), whose sum is σ = 73070242560. Its totient is φ = 11230064640.

The previous prime is 30222219961. The next prime is 30222220151. The reversal of 30222220120 is 2102222203.

It is a junction number, because it is equal to n+sod(n) for n = 30222220094 and 30222220103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2846662 + ... + 2857258.

It is an arithmetic number, because the mean of its divisors is an integer number (570861270).

Almost surely, 230222220120 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 30222220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36535121280).

30222220120 is an abundant number, since it is smaller than the sum of its proper divisors (42848022440).

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

30222220120 is a wasteful number, since it uses less digits than its factorization.

30222220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10733 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30222220120 its reverse (2102222203), we get a palindrome (32324442323).

The spelling of 30222220120 in words is "thirty billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 41 47 74 82 94 148 164 185 188 205 235 296 328 370 376 410 470 740 820 940 1480 1517 1640 1739 1880 1927 3034 3478 3854 6068 6956 7585 7708 8695 9635 10597 12136 13912 15170 15416 17390 19270 21194 30340 34780 38540 42388 52985 60680 69560 71299 77080 84776 105970 142598 211940 285196 356495 392089 423880 434477 498059 570392 712990 784178 868954 996118 1425980 1568356 1737908 1960445 1992236 2172385 2490295 2851960 3136712 3475816 3920890 3984472 4344770 4980590 7841780 8689540 9961180 15683560 16075649 17379080 18428183 19922360 20420419 32151298 36856366 40840838 64302596 73712732 80378245 81681676 92140915 102102095 128605192 147425464 160756490 163363352 184281830 204204190 321512980 368563660 408408380 643025960 737127320 755555503 816816760 1511111006 3022222012 3777777515 6044444024 7555555030 15111110060 30222220120