Search a number
-
+
215233441020 = 2232513461199523
BaseRepresentation
bin1100100001110011101…
…0011010110011111100
3202120112222200200001200
43020130322122303330
512011244230103040
6242513223335500
721356454030333
oct3103472326374
9676488620050
10215233441020
1183309736984
12358692b1590
13173b13307c0
14a5bb310d1a
1558ea9eb630
hex321ce9acfc

215233441020 has 144 divisors (see below), whose sum is σ = 704624592672. Its totient is φ = 52865349120.

The previous prime is 215233440991. The next prime is 215233441079. The reversal of 215233441020 is 20144332512.

215233441020 is a `hidden beast` number, since 2 + 1 + 523 + 34 + 4 + 102 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978979 + ... + 1178501.

It is an arithmetic number, because the mean of its divisors is an integer number (4893226338).

Almost surely, 2215233441020 is an apocalyptic number.

215233441020 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 215233441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352312296336).

215233441020 is an abundant number, since it is smaller than the sum of its proper divisors (489391151652).

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

215233441020 is a wasteful number, since it uses less digits than its factorization.

215233441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200012 (or 200007 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 215233441020 its reverse (20144332512), we get a palindrome (235377773532).

The spelling of 215233441020 in words is "two hundred fifteen billion, two hundred thirty-three million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 461 468 585 780 922 1170 1383 1844 2305 2340 2766 4149 4610 5532 5993 6915 8298 9220 11986 13830 16596 17979 20745 23972 27660 29965 35958 41490 53937 59930 71916 82980 89895 107874 119860 179790 199523 215748 269685 359580 399046 539370 598569 798092 997615 1078740 1197138 1795707 1995230 2394276 2593799 2992845 3591414 3990460 5187598 5985690 7182828 7781397 8978535 10375196 11971380 12968995 15562794 17957070 23344191 25937990 31125588 35914140 38906985 46688382 51875980 77813970 91980103 93376764 116720955 155627940 183960206 233441910 275940309 367920412 459900515 466883820 551880618 827820927 919801030 1103761236 1195741339 1379701545 1655641854 1839602060 2391482678 2759403090 3311283708 3587224017 4139104635 4782965356 5518806180 5978706695 7174448034 8278209270 10761672051 11957413390 14348896068 16556418540 17936120085 21523344102 23914826780 35872240170 43046688204 53808360255 71744480340 107616720510 215233441020