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30221332220034 = 2342336731189673
BaseRepresentation
bin1101101111100011100111…
…10001011000100010000010
310222000010112121022111120000
412313301303301120202002
512430121242022020114
6144135253252500430
76236263533253434
oct667616361304202
9128003477274500
1030221332220034
1196a188219596a
12348111b01a716
1313b2b23142617
14766a12660654
153761d5e20e09
hex1b7c73c58882

30221332220034 has 80 divisors (see below), whose sum is σ = 68109916723992. Its totient is φ = 10015629668352.

The previous prime is 30221332220003. The next prime is 30221332220039. The reversal of 30221332220034 is 43002223312203.

30221332220034 is a `hidden beast` number, since 302 + 2 + 1 + 3 + 322 + 2 + 0 + 0 + 34 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27270485073225 + 2950847146809 = 5222115^2 + 1717803^2 .

It is a super-2 number, since 2×302213322200342 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30221332220039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24808222 + ... + 25997894.

Almost surely, 230221332220034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30221332220034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34054958361996).

30221332220034 is an abundant number, since it is smaller than the sum of its proper divisors (37888584503958).

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

30221332220034 is a wasteful number, since it uses less digits than its factorization.

30221332220034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190593 (or 1190584 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 30221332220034 its reverse (43002223312203), we get a palindrome (73223555532237).

The spelling of 30221332220034 in words is "thirty trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 466 673 699 1346 1398 2019 2097 4038 4194 6057 6291 12114 12582 18171 18873 36342 37746 54513 109026 156809 313618 470427 940854 1189673 1411281 2379346 2822562 3569019 4233843 7138038 8467686 10707057 12701529 21414114 25403058 32121171 64242342 96363513 192727026 277193809 554387618 800649929 831581427 1601299858 1663162854 2401949787 2494744281 4803899574 4989488562 7205849361 7484232843 14411698722 14968465686 21617548083 22452698529 43235096166 44905397058 64852644249 129705288498 186551433457 373102866914 559654300371 1119308600742 1678962901113 3357925802226 5036888703339 10073777406678 15110666110017 30221332220034