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223405135140 = 223511389870161
BaseRepresentation
bin1101000000001111111…
…0111101010100100100
3210100122111011202000110
43100003332331110210
512130013203311030
6250344135213020
722066121213415
oct3200376752444
9710574152013
10223405135140
11868224136a0
1237369b17170
13180b42ca075
14ab5470d80c
155c2810e1b0
hex3403fbd524

223405135140 has 96 divisors (see below), whose sum is σ = 684156170880. Its totient is φ = 54019532800.

The previous prime is 223405135117. The next prime is 223405135147. The reversal of 223405135140 is 41531504322.

223405135140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 223405135098 and 223405135107.

It is not an unprimeable number, because it can be changed into a prime (223405135147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178341 + ... + 691820.

It is an arithmetic number, because the mean of its divisors is an integer number (7126626780).

Almost surely, 2223405135140 is an apocalyptic number.

223405135140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223405135140 is an abundant number, since it is smaller than the sum of its proper divisors (460751035740).

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

223405135140 is a wasteful number, since it uses less digits than its factorization.

223405135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870573 (or 870571 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 223405135140 its reverse (41531504322), we get a palindrome (264936639462).

The spelling of 223405135140 in words is "two hundred twenty-three billion, four hundred five million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 389 660 778 1167 1556 1945 2334 3890 4279 4668 5835 7780 8558 11670 12837 17116 21395 23340 25674 42790 51348 64185 85580 128370 256740 870161 1740322 2610483 3480644 4350805 5220966 8701610 9571771 10441932 13052415 17403220 19143542 26104830 28715313 38287084 47858855 52209660 57430626 95717710 114861252 143576565 191435420 287153130 338492629 574306260 676985258 1015477887 1353970516 1692463145 2030955774 3384926290 3723418919 4061911548 5077389435 6769852580 7446837838 10154778870 11170256757 14893675676 18617094595 20309557740 22340513514 37234189190 44681027028 55851283785 74468378380 111702567570 223405135140