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202211332020 = 223251123396289
BaseRepresentation
bin1011110001010010111…
…1000000111110110100
3201022221110021222202100
42330110233000332310
511303112100111040
6232521122342100
720415661651065
oct2742457007664
9638843258670
10202211332020
1178837030725
12332341ba930
13160b74ba769
149b03a6c56c
1553d767db30
hex2f14bc0fb4

202211332020 has 36 divisors (see below), whose sum is σ = 613374374340. Its totient is φ = 53923021824.

The previous prime is 202211331991. The next prime is 202211332027. The reversal of 202211332020 is 20233112202.

It can be written as a sum of positive squares in 2 ways, for example, as 21684918564 + 180526413456 = 147258^2 + 424884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202211331984 and 202211332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202211332027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561697965 + ... + 561698324.

It is an arithmetic number, because the mean of its divisors is an integer number (17038177065).

Almost surely, 2202211332020 is an apocalyptic number.

202211332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202211332020 is an abundant number, since it is smaller than the sum of its proper divisors (411163042320).

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

202211332020 is a wasteful number, since it uses less digits than its factorization.

202211332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123396304 (or 1123396299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202211332020 its reverse (20233112202), we get a palindrome (222444444222).

The spelling of 202211332020 in words is "two hundred two billion, two hundred eleven million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1123396289 2246792578 3370188867 4493585156 5616981445 6740377734 10110566601 11233962890 13480755468 16850944335 20221133202 22467925780 33701888670 40442266404 50552833005 67403777340 101105666010 202211332020