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22403104004140 = 22519235227490393
BaseRepresentation
bin1010001100000001000010…
…00011100101100000101100
32221022201022211121110210221
411012000201003211200230
510414023024111113030
6115351502140541124
74501366542023506
oct506004103454054
987281284543727
1022403104004140
1171581151874a2
122619a562517a4
13c667b0283b82
1457645d22ad76
1528cb51ee6e7a
hex1460210e582c

22403104004140 has 96 divisors (see below), whose sum is σ = 51685801413120. Its totient is φ = 8118914259456.

The previous prime is 22403104004093. The next prime is 22403104004147. The reversal of 22403104004140 is 4140040130422.

It is a super-2 number, since 2×224031040041402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22403104004147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45438784 + ... + 45929176.

It is an arithmetic number, because the mean of its divisors is an integer number (538393764720).

Almost surely, 222403104004140 is an apocalyptic number.

22403104004140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22403104004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25842900706560).

22403104004140 is an abundant number, since it is smaller than the sum of its proper divisors (29282697408980).

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

22403104004140 is a wasteful number, since it uses less digits than its factorization.

22403104004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495671 (or 495669 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22403104004140 its reverse (4140040130422), we get a palindrome (26543144134562).

The spelling of 22403104004140 in words is "twenty-two trillion, four hundred three billion, one hundred four million, four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 4370 5227 8740 10454 20908 26135 52270 99313 104540 120221 198626 240442 397252 480884 490393 496565 601105 980786 993130 1202210 1961572 1986260 2284199 2404420 2451965 4568398 4903930 9136796 9317467 9807860 11279039 11420995 18634934 22558078 22841990 37269868 45116156 45683980 46587335 56395195 93174670 112790390 186349340 214301741 225580780 428603482 857206964 1071508705 2143017410 2563284211 4286034820 5126568422 10253136844 12816421055 25632842110 48702400009 51265684220 58955536853 97404800018 117911073706 194809600036 235822147412 243512000045 294777684265 487024000090 589555368530 974048000180 1120155200207 1179110737060 2240310400414 4480620800828 5600776001035 11201552002070 22403104004140