Search a number
-
+
2330223000320 = 2859041201359
BaseRepresentation
bin100001111010001100000…
…111010011101100000000
322020202201020200101000102
4201322030013103230000
5301134244042002240
64542253433541532
7330232045460105
oct41721407235400
98222636611012
102330223000320
118192731535a6
12317742b748a8
1313b97ba06307
1480ad78c8aac
1540933b64815
hex21e8c1d3b00

2330223000320 has 72 divisors (see below), whose sum is σ = 5582257369920. Its totient is φ = 931981475840.

The previous prime is 2330223000307. The next prime is 2330223000359. The reversal of 2330223000320 is 230003220332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2330223000292 and 2330223000301.

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 7 ways as a sum of consecutive naturals, for example, 11471801 + ... + 11673159.

It is an arithmetic number, because the mean of its divisors is an integer number (77531352360).

Almost surely, 22330223000320 is an apocalyptic number.

2330223000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2330223000320 is an abundant number, since it is smaller than the sum of its proper divisors (3252034369600).

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

2330223000320 is an equidigital number, since it uses as much as digits as its factorization.

2330223000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210421 (or 210407 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 2330223000320 its reverse (230003220332), we get a palindrome (2560226220652).

The spelling of 2330223000320 in words is "two trillion, three hundred thirty billion, two hundred twenty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 9041 18082 36164 45205 72328 90410 144656 180820 201359 289312 361640 402718 578624 723280 805436 1006795 1157248 1446560 1610872 2013590 2314496 2893120 3221744 4027180 5786240 6443488 8054360 11572480 12886976 16108720 25773952 32217440 51547904 64434880 128869760 257739520 1820486719 3640973438 7281946876 9102433595 14563893752 18204867190 29127787504 36409734380 58255575008 72819468760 116511150016 145638937520 233022300032 291277875040 466044600064 582555750080 1165111500160 2330223000320