Search a number
-
+
223124412200100 = 22352831189489597
BaseRepresentation
bin110010101110111000110011…
…010101000111010010100100
31002021000111002220212102212020
4302232320303111013102210
5213221132244010400400
62110313535004223140
764666130636006205
oct6256706325072244
91067014086772766
10223124412200100
1165104593933444
122103700a23aab0
139766707401c58
143d153ca0935ac
151abdea0b682a0
hexcaee335474a4

223124412200100 has 72 divisors (see below), whose sum is σ = 645650983483968. Its totient is φ = 59492683420800.

The previous prime is 223124412200099. The next prime is 223124412200119. The reversal of 223124412200100 is 1002214421322.

223124412200100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231244122001003 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42251499 + ... + 47238098.

Almost surely, 2223124412200100 is an apocalyptic number.

223124412200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223124412200100 is an abundant number, since it is smaller than the sum of its proper divisors (422526571283868).

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

223124412200100 is a wasteful number, since it uses less digits than its factorization.

223124412200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89497925 (or 89497918 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 223124412200100 its reverse (1002214421322), we get a palindrome (224126626621422).

The spelling of 223124412200100 in words is "two hundred twenty-three trillion, one hundred twenty-four billion, four hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 8311 16622 24933 33244 41555 49866 83110 99732 124665 166220 207775 249330 415550 498660 623325 831100 1246650 2493300 89489597 178979194 268468791 357958388 447447985 536937582 894895970 1073875164 1342343955 1789791940 2237239925 2684687910 4474479850 5369375820 6711719775 8948959700 13423439550 26846879100 743748040667 1487496081334 2231244122001 2974992162668 3718740203335 4462488244002 7437480406670 8924976488004 11156220610005 14874960813340 18593701016675 22312441220010 37187402033350 44624882440020 55781103050025 74374804066700 111562206100050 223124412200100