Search a number
-
+
223211003313300 = 223521030372215537
BaseRepresentation
bin110010110000001001011100…
…100011111111110010010100
31002021022202121121022202101220
4302300021130203333302110
5213224042113322011200
62110421415212250340
765005314513223242
oct6260113443776224
91067282547282356
10223211003313300
11651382892a9412
122104b9554709b0
139771926c09442
143d1968234d792
151ac136cad44a0
hexcb025c8ffc94

223211003313300 has 72 divisors (see below), whose sum is σ = 645886528283136. Its totient is φ = 59517156149760.

The previous prime is 223211003313271. The next prime is 223211003313301. The reversal of 223211003313300 is 3313300112322.

223211003313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232110033133003 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223211003313301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33016869 + ... + 39198668.

Almost surely, 2223211003313300 is an apocalyptic number.

223211003313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223211003313300 is an abundant number, since it is smaller than the sum of its proper divisors (422675524969836).

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

223211003313300 is a wasteful number, since it uses less digits than its factorization.

223211003313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72225857 (or 72225850 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 223211003313300 its reverse (3313300112322), we get a palindrome (226524303425622).

The spelling of 223211003313300 in words is "two hundred twenty-three trillion, two hundred eleven billion, three million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 10303 20606 30909 41212 51515 61818 103030 123636 154545 206060 257575 309090 515150 618180 772725 1030300 1545450 3090900 72215537 144431074 216646611 288862148 361077685 433293222 722155370 866586444 1083233055 1444310740 1805388425 2166466110 3610776850 4332932220 5416165275 7221553700 10832330550 21664661100 744036677711 1488073355422 2232110033133 2976146710844 3720183388555 4464220066266 7440366777110 8928440132532 11160550165665 14880733554220 18600916942775 22321100331330 37201833885550 44642200662660 55802750828325 74403667771100 111605501656650 223211003313300