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30221312022 = 232117110692011
BaseRepresentation
bin11100001001010101…
…001010000000010110
32220000011201201101200
4130021111022000112
5443343123441042
621514455333330
72116624625256
oct341125120026
986004651350
1030221312022
11118a9163030
125a35081246
132b081a1a65
1416699b7966
15bbd292c4c
hex70954a016

30221312022 has 96 divisors (see below), whose sum is σ = 72542096640. Its totient is φ = 9016056000.

The previous prime is 30221311957. The next prime is 30221312027. The reversal of 30221312022 is 22021312203.

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 = 30221311986 and 30221312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30221312027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15026997 + ... + 15029007.

It is an arithmetic number, because the mean of its divisors is an integer number (755646840).

Almost surely, 230221312022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30221312022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36271048320).

30221312022 is an abundant number, since it is smaller than the sum of its proper divisors (42320784618).

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

30221312022 is a wasteful number, since it uses less digits than its factorization.

30221312022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30221312022 its reverse (22021312203), we get a palindrome (52242624225).

It can be divided in two parts, 30221 and 312022, that added together give a palindrome (342243).

The spelling of 30221312022 in words is "thirty billion, two hundred twenty-one million, three hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1069 1278 1562 2011 2138 2343 3207 4022 4686 6033 6414 7029 9621 11759 12066 14058 18099 19242 22121 23518 35277 36198 44242 66363 70554 75899 105831 132726 142781 151798 199089 211662 227697 285562 398178 428343 455394 683091 834889 856686 1285029 1366182 1570591 1669778 2149759 2504667 2570058 3141182 4299518 4711773 5009334 6449277 7514001 9423546 12898554 14135319 15028002 19347831 23647349 28270638 38695662 47294698 70942047 141884094 152632889 212826141 305265778 425652282 457898667 915797334 1373696001 1678961779 2747392002 3357923558 5036885337 10073770674 15110656011 30221312022