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202020002000 = 2453311324791
BaseRepresentation
bin1011110000100101010…
…1001001100011010000
3201022110010021102022022
42330021111021203100
511302214110031000
6232450125431012
720411146453445
oct2741125114320
9638403242268
10202020002000
117874902a643
12331a010b468
131608697a82b
149ac64a59cc
1553c5988585
hex2f095498d0

202020002000 has 80 divisors (see below), whose sum is σ = 490056562944. Its totient is φ = 80547920000.

The previous prime is 202020001991. The next prime is 202020002017. The reversal of 202020002000 is 200020202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 459605 + ... + 784395.

Almost surely, 2202020002000 is an apocalyptic number.

202020002000 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 202020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245028281472).

202020002000 is an abundant number, since it is smaller than the sum of its proper divisors (288036560944).

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

202020002000 is a wasteful number, since it uses less digits than its factorization.

202020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325125 (or 325109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 202020002000 its reverse (200020202), we get a palindrome (202220022202).

The spelling of 202020002000 in words is "two hundred two billion, twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 311 400 500 622 1000 1244 1555 2000 2488 3110 4976 6220 7775 12440 15550 24880 31100 38875 62200 77750 124400 155500 311000 324791 622000 649582 1299164 1623955 2598328 3247910 5196656 6495820 8119775 12991640 16239550 25983280 32479100 40598875 64958200 81197750 101010001 129916400 162395500 202020002 324791000 404040004 505050005 649582000 808080008 1010100010 1616160016 2020200020 2525250025 4040400040 5050500050 8080800080 10101000100 12626250125 20202000200 25252500250 40404000400 50505000500 101010001000 202020002000