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30201222420 = 223251736471499
BaseRepresentation
bin11100001000001000…
…100001010100010100
32212221202221001122100
4130020020201110110
5443323003104140
621512501002100
72116262104065
oct341010412424
985852831570
1030201222420
1111898891456
125a2a3b3330
132b03c89915
14166706856c
15bbb625530
hex708221514

30201222420 has 144 divisors (see below), whose sum is σ = 92343888000. Its totient is φ = 7989397248.

The previous prime is 30201222413. The next prime is 30201222439. The reversal of 30201222420 is 2422210203.

30201222420 is a `hidden beast` number, since 3 + 0 + 20 + 1 + 222 + 420 = 666.

It is a super-2 number, since 2×302012224202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30201222393 and 30201222402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20146831 + ... + 20148329.

It is an arithmetic number, because the mean of its divisors is an integer number (641277000).

Almost surely, 230201222420 is an apocalyptic number.

30201222420 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 30201222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46171944000).

30201222420 is an abundant number, since it is smaller than the sum of its proper divisors (62142665580).

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

30201222420 is a wasteful number, since it uses less digits than its factorization.

30201222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30201222420 its reverse (2422210203), we get a palindrome (32623432623).

The spelling of 30201222420 in words is "thirty billion, two hundred one million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 647 692 865 1038 1294 1499 1557 1730 1941 2076 2588 2595 2998 3114 3235 3460 3882 4497 5190 5823 5996 6228 6470 7495 7764 7785 8994 9705 10380 11646 12940 13491 14990 15570 17988 19410 22485 23292 26982 29115 29980 31140 38820 44970 53964 58230 67455 89940 111931 116460 134910 223862 259327 269820 335793 447724 518654 559655 671586 777981 969853 1007379 1037308 1119310 1296635 1343172 1555962 1678965 1939706 2014758 2238620 2333943 2593270 2909559 3111924 3357930 3879412 3889905 4029516 4667886 4849265 5036895 5186540 5819118 6715860 7779810 8728677 9335772 9698530 10073790 11638236 11669715 14547795 15559620 17457354 19397060 20147580 23339430 29095590 34914708 43643385 46678860 58191180 87286770 167784569 174573540 335569138 503353707 671138276 838922845 1006707414 1510061121 1677845690 2013414828 2516768535 3020122242 3355691380 5033537070 6040244484 7550305605 10067074140 15100611210 30201222420