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202201000000 = 2656202201
BaseRepresentation
bin1011110001010000011…
…1100110100001000000
3201022220201212001212221
42330110013212201000
511303101424000000
6232520113100424
720415505066426
oct2742407464100
9638821761787
10202201000000
117883121406a
1233230857714
13160b5310a3c
149b0253d116
1553d67dc61a
hex2f141e6840

202201000000 has 98 divisors (see below), whose sum is σ = 501549322274. Its totient is φ = 80880000000.

The previous prime is 202200999947. The next prime is 202201000037. The reversal of 202201000000 is 102202.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 184411842624 + 17789157376 = 429432^2 + 133376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 898900 + ... + 1101100.

Almost surely, 2202201000000 is an apocalyptic number.

202201000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250774661137).

202201000000 is an abundant number, since it is smaller than the sum of its proper divisors (299348322274).

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

202201000000 is an frugal number, since it uses more digits than its factorization.

202201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202243 (or 202208 counting only the distinct ones).

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

Adding to 202201000000 its reverse (102202), we get a palindrome (202201102202).

The spelling of 202201000000 in words is "two hundred two billion, two hundred one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 202201 250000 404402 500000 808804 1000000 1011005 1617608 2022010 3235216 4044020 5055025 6470432 8088040 10110050 12940864 16176080 20220100 25275125 32352160 40440200 50550250 64704320 80880400 101100500 126375625 161760800 202201000 252751250 323521600 404402000 505502500 631878125 808804000 1011005000 1263756250 1617608000 2022010000 2527512500 3159390625 4044020000 5055025000 6318781250 8088040000 10110050000 12637562500 20220100000 25275125000 40440200000 50550250000 101100500000 202201000000