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30211440327224 = 23132191543762211
BaseRepresentation
bin1101101111010001001100…
…01010110011101000111000
310221222012000012222021121122
412313220212022303220320
512424441012210432344
6144130535531124412
76235463440461002
oct667504612635070
9127865005867548
1030211440327224
1196986664aa442
12347b21a2a3708
1313b1c07976b00
147663549dd372
15375d077b9aee
hex1b7a262b3a38

30211440327224 has 96 divisors (see below), whose sum is σ = 64609357507200. Its totient is φ = 13201282074240.

The previous prime is 30211440327179. The next prime is 30211440327241. The reversal of 30211440327224 is 42272304411203.

It is a happy number.

It is a super-2 number, since 2×302114403272242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39255479 + ... + 40017689.

It is an arithmetic number, because the mean of its divisors is an integer number (673014140700).

Almost surely, 230211440327224 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 30211440327224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32304678753600).

30211440327224 is an abundant number, since it is smaller than the sum of its proper divisors (34397917179976).

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

30211440327224 is a wasteful number, since it uses less digits than its factorization.

30211440327224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763805 (or 763788 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

Adding to 30211440327224 its reverse (42272304411203), we get a palindrome (72483744738427).

The spelling of 30211440327224 in words is "thirty trillion, two hundred eleven billion, four hundred forty million, three hundred twenty-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 494 676 988 1352 1543 1976 3086 3211 6172 6422 12344 12844 20059 25688 29317 40118 58634 80236 117268 160472 234536 260767 381121 521534 762211 762242 1043068 1524422 1524484 2086136 3048844 3048968 4954573 6097688 9908743 9909146 14482009 19817486 19818292 28964018 39634972 39636584 57928036 79269944 115856072 128813659 188266117 257627318 376532234 515254636 753064468 1030509272 1176091573 1506128936 2352183146 2447459521 4704366292 4894919042 9408732584 9789838084 15289190449 19579676168 22345739887 30578380898 44691479774 61156761796 89382959548 122313523592 178765919096 198759475837 290494618531 397518951674 580989237062 795037903348 1161978474124 1590075806696 2323956948248 3776430040903 7552860081806 15105720163612 30211440327224