Search a number
-
+
233323001300020 = 225891033147186263
BaseRepresentation
bin110101000011010010111110…
…100111000100010000110100
31010121010110110010112020010111
4311003102332213010100310
5221040231001313100040
62144123035043032404
7100101013324016302
oct6503227647042064
91117113403466114
10233323001300020
1168386802574535
122220368906b704
13a026359482708
144188c71b55272
151be9400235dea
hexd434be9c4434

233323001300020 has 96 divisors (see below), whose sum is σ = 496306245980160. Its totient is φ = 92127484753920.

The previous prime is 233323001299981. The next prime is 233323001300033. The reversal of 233323001300020 is 20003100323332.

It is a super-2 number, since 2×2333230013000202 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233323001299964 and 233323001300000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2704743409 + ... + 2704829671.

It is an arithmetic number, because the mean of its divisors is an integer number (5169856728960).

Almost surely, 2233323001300020 is an apocalyptic number.

233323001300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233323001300020 is an abundant number, since it is smaller than the sum of its proper divisors (262983244680140).

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

233323001300020 is a wasteful number, since it uses less digits than its factorization.

233323001300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88865 (or 88863 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 233323001300020 its reverse (20003100323332), we get a palindrome (253326101623352).

The spelling of 233323001300020 in words is "two hundred thirty-three trillion, three hundred twenty-three billion, one million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1033 1471 1780 2066 2942 4132 5165 5884 7355 10330 14710 20660 29420 86263 91937 130919 172526 183874 261838 345052 367748 431315 459685 523676 654595 862630 919370 1309190 1519543 1725260 1838740 2618380 3039086 6078172 7597715 7677407 15195430 15354814 30390860 30709628 38387035 76774070 89109679 126892873 135239327 153548140 178219358 253785746 270478654 356438716 445548395 507571492 540957308 634464365 676196635 891096790 1268928730 1352393270 1782193580 2537857460 2704786540 7930761431 11293465697 15861522862 22586931394 31723045724 39653807155 45173862788 56467328485 79307614310 112934656970 131080337809 158615228620 225869313940 262160675618 524321351236 655401689045 1310803378090 2621606756180 11666150065001 23332300130002 46664600260004 58330750325005 116661500650010 233323001300020