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202201000 = 2353202201
BaseRepresentation
bin11000000110101…
…01011110101000
3112002110212121221
430003111132220
5403230413000
632021511424
75003452201
oct1403253650
9462425557
10202201000
11a4156671
1257872574
1332b78081
141cbd65a8
1512b4161a
hexc0d57a8

202201000 has 32 divisors (see below), whose sum is σ = 473152680. Its totient is φ = 80880000.

The previous prime is 202200991. The next prime is 202201039. The reversal of 202201000 is 102202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18164644 + 184036356 = 4262^2 + 13566^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100101 + ... + 102100.

Almost surely, 2202201000 is an apocalyptic number.

202201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201000 is an abundant number, since it is smaller than the sum of its proper divisors (270951680).

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

202201000 is a wasteful number, since it uses less digits than its factorization.

202201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202222 (or 202208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 202201000 is about 14219.7398007137. The cubic root of 202201000 is about 586.9409802449.

Adding to 202201000 its reverse (102202), we get a palindrome (202303202).

The spelling of 202201000 in words is "two hundred two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 202201 404402 808804 1011005 1617608 2022010 4044020 5055025 8088040 10110050 20220100 25275125 40440200 50550250 101100500 202201000