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224040133020 = 223511502167607
BaseRepresentation
bin1101000010100111010…
…1010010000110011100
3210102021202000222100110
43100221311102012130
512132313233224040
6250531141330020
722120631465244
oct3205165220634
9712252028313
10224040133020
11870188a5a30
1237506706910
1318185a2a762
14abb4ba6b24
155c63c41980
hex3429d5219c

224040133020 has 96 divisors (see below), whose sum is σ = 684487190016. Its totient is φ = 54301139200.

The previous prime is 224040132997. The next prime is 224040133063. The reversal of 224040133020 is 20331040422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3280057 + ... + 3347663.

It is an arithmetic number, because the mean of its divisors is an integer number (7130074896).

Almost surely, 2224040133020 is an apocalyptic number.

224040133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224040133020 is an abundant number, since it is smaller than the sum of its proper divisors (460447056996).

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

224040133020 is a wasteful number, since it uses less digits than its factorization.

224040133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72651 (or 72649 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 224040133020 its reverse (20331040422), we get a palindrome (244371173442).

The spelling of 224040133020 in words is "two hundred twenty-four billion, forty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 5021 10042 15063 20084 25105 30126 50210 55231 60252 67607 75315 100420 110462 135214 150630 165693 202821 220924 270428 276155 301260 331386 338035 405642 552310 662772 676070 743677 811284 828465 1014105 1104620 1352140 1487354 1656930 2028210 2231031 2974708 3313860 3718385 4056420 4462062 7436770 8924124 11155155 14873540 22310310 44620620 339454747 678909494 1018364241 1357818988 1697273735 2036728482 3394547470 3734002217 4073456964 5091821205 6789094940 7468004434 10183642410 11202006651 14936008868 18670011085 20367284820 22404013302 37340022170 44808026604 56010033255 74680044340 112020066510 224040133020