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202022201000 = 23531272115881
BaseRepresentation
bin1011110000100101110…
…1100010011010101000
3201022110021102010202202
42330021131202122220
511302220140413000
6232450244515332
720411204242514
oct2741135423250
9638407363682
10202022201000
117874a2a17a4
12331a09abb48
131608726a709
149ac68b9144
1553c5c6edd5
hex2f097626a8

202022201000 has 64 divisors (see below), whose sum is σ = 472798881360. Its totient is φ = 80797440000.

The previous prime is 202022200969. The next prime is 202022201033. The reversal of 202022201000 is 102220202.

It can be written as a sum of positive squares in 8 ways, for example, as 75879313444 + 126142887556 = 275462^2 + 355166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12713060 + ... + 12728940.

Almost surely, 2202022201000 is an apocalyptic number.

202022201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022201000 is an abundant number, since it is smaller than the sum of its proper divisors (270776680360).

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

202022201000 is a wasteful number, since it uses less digits than its factorization.

202022201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28623 (or 28609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202022201000 its reverse (102220202), we get a palindrome (202124421202).

The spelling of 202022201000 in words is "two hundred two billion, twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12721 15881 25442 31762 50884 63524 63605 79405 101768 127048 127210 158810 254420 317620 318025 397025 508840 635240 636050 794050 1272100 1588100 1590125 1985125 2544200 3176200 3180250 3970250 6360500 7940500 12721000 15881000 202022201 404044402 808088804 1010111005 1616177608 2020222010 4040444020 5050555025 8080888040 10101110050 20202220100 25252775125 40404440200 50505550250 101011100500 202022201000