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202001000 = 2353202001
BaseRepresentation
bin11000000101001…
…00101001101000
3112002002201021112
430002210221220
5403203013000
632013325452
75001660125
oct1402445150
9462081245
10202001000
11a402a383
1257796888
1332b08026
141cb8374c
1512b02235
hexc0a4a68

202001000 has 32 divisors (see below), whose sum is σ = 472684680. Its totient is φ = 80800000.

The previous prime is 202000999. The next prime is 202001003. The reversal of 202001000 is 100202.

202001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128006596 + 73994404 = 11314^2 + 8602^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (202001003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100001 + ... + 102000.

Almost surely, 2202001000 is an apocalyptic number.

202001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001000 is an abundant number, since it is smaller than the sum of its proper divisors (270683680).

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

202001000 is a wasteful number, since it uses less digits than its factorization.

202001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202022 (or 202008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 202001000 is about 14212.7055833856. The cubic root of 202001000 is about 586.7473990711.

Adding to 202001000 its reverse (100202), we get a palindrome (202101202).

The spelling of 202001000 in words is "two hundred two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 202001 404002 808004 1010005 1616008 2020010 4040020 5050025 8080040 10100050 20200100 25250125 40400200 50500250 101000500 202001000