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223031134300 = 225213678330851
BaseRepresentation
bin1100111110110110110…
…0010000100001011100
3210022200102102112022111
43033231230100201130
512123231432244200
6250243055123404
722053630235102
oct3175554204134
9708612375274
10223031134300
1186650296297
1237284813564
131805498c6b0
14ab1ab95c72
155c053840ba
hex33edb1085c

223031134300 has 144 divisors (see below), whose sum is σ = 535376483712. Its totient is φ = 80140896000.

The previous prime is 223031134247. The next prime is 223031134327. The reversal of 223031134300 is 3431130322.

223031134300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7213875 + ... + 7244725.

It is an arithmetic number, because the mean of its divisors is an integer number (3717892248).

Almost surely, 2223031134300 is an apocalyptic number.

223031134300 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 223031134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267688241856).

223031134300 is an abundant number, since it is smaller than the sum of its proper divisors (312345349412).

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

223031134300 is a wasteful number, since it uses less digits than its factorization.

223031134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31028 (or 31021 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 223031134300 its reverse (3431130322), we get a palindrome (226462264622).

The spelling of 223031134300 in words is "two hundred twenty-three billion, thirty-one million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 83 100 130 134 166 260 268 325 332 335 415 650 670 830 871 1079 1300 1340 1660 1675 1742 2075 2158 3350 3484 4150 4316 4355 5395 5561 6700 8300 8710 10790 11122 17420 21580 21775 22244 26975 27805 30851 43550 53950 55610 61702 72293 87100 107900 111220 123404 139025 144586 154255 278050 289172 308510 361465 401063 556100 617020 722930 771275 802126 1445860 1542550 1604252 1807325 2005315 2067017 2560633 3085100 3614650 4010630 4134034 5121266 7229300 8021260 8268068 10026575 10242532 10335085 12803165 20053150 20670170 25606330 26871221 33288229 40106300 41340340 51212660 51675425 53742442 64015825 66576458 103350850 107484884 128031650 133152916 134356105 166441145 171562411 206701700 256063300 268712210 332882290 343124822 537424420 665764580 671780525 686249644 832205725 857812055 1343561050 1664411450 1715624110 2230311343 2687122100 3328822900 3431248220 4289060275 4460622686 8578120550 8921245372 11151556715 17156241100 22303113430 44606226860 55757783575 111515567150 223031134300