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202400224221 = 3133116326301
BaseRepresentation
bin1011110001111111111…
…1100101001111011101
3201100102121201201010210
42330133333211033131
511304003424133341
6232551551123033
720423444343156
oct2743777451735
9640377651123
10202400224221
1178923717188
1233287513479
1316117685bb0
149b20b9c92d
1553e9041c16
hex2f1ffe53dd

202400224221 has 48 divisors (see below), whose sum is σ = 301900687872. Its totient is φ = 119777616000.

The previous prime is 202400224217. The next prime is 202400224253. The reversal of 202400224221 is 122422004202.

It is not a de Polignac number, because 202400224221 - 22 = 202400224217 is a prime.

It is a super-2 number, since 2×2024002242212 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202400224261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32118771 + ... + 32125071.

It is an arithmetic number, because the mean of its divisors is an integer number (6289597664).

Almost surely, 2202400224221 is an apocalyptic number.

It is an amenable number.

202400224221 is a deficient number, since it is larger than the sum of its proper divisors (99500463651).

202400224221 is a wasteful number, since it uses less digits than its factorization.

202400224221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 202400224221 its reverse (122422004202), we get a palindrome (324822228423).

The spelling of 202400224221 in words is "two hundred two billion, four hundred million, two hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 13 31 39 93 163 403 489 1209 2119 5053 6301 6357 15159 18903 26569 65689 79707 81913 195331 197067 245739 345397 585993 823639 1027063 1036191 2470917 2539303 3081189 7617909 10707307 13351819 31838953 32121921 40055457 95516859 167411269 413906389 502233807 1241719167 2176346497 5189749339 6529039491 15569248017 67466741407 202400224221