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30022839441 = 32723722232
BaseRepresentation
bin11011111101100000…
…000010110010010001
32212111100021021012100
4123331200002302101
5442441321330231
621443045351013
72111664632100
oct337540026221
985440237170
1030022839441
1111807123701
12599a708469
132aa6030a6a
14164b4b2037
15baab3b1e6
hex6fd802c91

30022839441 has 81 divisors (see below), whose sum is σ = 52080348411. Its totient is φ = 16617381984.

The previous prime is 30022839433. The next prime is 30022839449. The reversal of 30022839441 is 14493822003.

The square root of 30022839441 is 173271.

It is a perfect power (a square), and thus also a powerful number.

30022839441 is a `hidden beast` number, since 3 + 0 + 0 + 228 + 394 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (30022839433) and next prime (30022839449).

It can be written as a sum of positive squares in only one way, i.e., 26864849025 + 3157990416 = 163905^2 + 56196^2 .

It is not a de Polignac number, because 30022839441 - 23 = 30022839433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30022839396 and 30022839405.

It is not an unprimeable number, because it can be changed into a prime (30022839449) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 134631456 + ... + 134631678.

Almost surely, 230022839441 is an apocalyptic number.

30022839441 is the 173271-st square number.

30022839441 is the 86636-th centered octagonal number.

It is an amenable number.

30022839441 is a deficient number, since it is larger than the sum of its proper divisors (22057508970).

30022839441 is an equidigital number, since it uses as much as digits as its factorization.

30022839441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 30022839441 by its sum of digits (36), we get a square (1080822219876 = 10396262).

The spelling of 30022839441 in words is "thirty billion, twenty-two million, eight hundred thirty-nine thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 37 49 63 111 147 223 259 333 441 669 777 1369 1561 1813 2007 2331 4107 4683 5439 8251 9583 10927 12321 14049 16317 24753 28749 32781 49729 57757 67081 74259 86247 98343 149187 173271 201243 305287 348103 404299 447561 519813 603729 915861 1044309 1212897 1839973 2137009 2436721 2747583 3132927 3638691 5519919 6411027 7310163 12879811 14959063 16559757 19233081 21930489 38639433 44877189 68079001 90158677 115918299 134631567 204237003 270476031 476553007 612711009 811428093 1429659021 3335871049 4288977063 10007613147 30022839441