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223164002256500 = 22536148527150779
BaseRepresentation
bin110010101111011101101011…
…000101001100011001110100
31002021011021022000112200110102
4302233131223011030121310
5213222304334034202000
62110344043300413232
765002032004642154
oct6257355305143164
91067137260480412
10223164002256500
116511a35a444818
12210428189a7218
13976a376570c26
143d172a402c764
151ac001b6753d5
hexcaf76b14c674

223164002256500 has 96 divisors (see below), whose sum is σ = 495393677775360. Its totient is φ = 87799838736000.

The previous prime is 223164002256457. The next prime is 223164002256527. The reversal of 223164002256500 is 5652200461322.

It is a super-3 number, since 3×2231640022565003 (a number of 44 digits) contains 333 as substring.

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, 1479998111 + ... + 1480148889.

It is an arithmetic number, because the mean of its divisors is an integer number (5160350810160).

Almost surely, 2223164002256500 is an apocalyptic number.

223164002256500 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 223164002256500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247696838887680).

223164002256500 is an abundant number, since it is smaller than the sum of its proper divisors (272229675518860).

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

223164002256500 is a wasteful number, since it uses less digits than its factorization.

223164002256500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199386 (or 199374 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 223164002256500 in words is "two hundred twenty-three trillion, one hundred sixty-four billion, two million, two hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1220 1525 3050 6100 7625 15250 30500 48527 97054 150779 194108 242635 301558 485270 603116 753895 970540 1213175 1507790 2426350 2960147 3015580 3769475 4852700 5920294 6065875 7538950 9197519 11840588 12131750 14800735 15077900 18395038 18847375 24263500 29601470 36790076 37694750 45987595 59202940 74003675 75389500 91975190 148007350 183950380 229937975 296014700 370018375 459875950 740036750 919751900 1149689875 1480073500 2299379750 4598759500 7316852533 14633705066 29267410132 36584262665 73168525330 146337050660 182921313325 365842626650 446328004513 731685253300 892656009026 914606566625 1785312018052 1829213133250 2231640022565 3658426266500 4463280045130 8926560090260 11158200112825 22316400225650 44632800451300 55791000564125 111582001128250 223164002256500