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202000204200 = 23352834056229
BaseRepresentation
bin1011110000100000100…
…1101000000110101000
3201022101202000120211110
42330020021220012220
511302144023013300
6232444141230320
720410516256064
oct2741011500650
9638352016743
10202000204200
1178738938223
12331955623a0
1316082838462
149ac39d0aa4
1553c3d77550
hex2f082681a8

202000204200 has 96 divisors (see below), whose sum is σ = 633745375200. Its totient is φ = 53217711360.

The previous prime is 202000204157. The next prime is 202000204213. The reversal of 202000204200 is 2402000202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1978315 + ... + 2077914.

It is an arithmetic number, because the mean of its divisors is an integer number (6601514325).

Almost surely, 2202000204200 is an apocalyptic number.

202000204200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000204200 is an abundant number, since it is smaller than the sum of its proper divisors (431745171000).

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

202000204200 is a wasteful number, since it uses less digits than its factorization.

202000204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056331 (or 4056322 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 202000204200 its reverse (2402000202), we get a palindrome (204402204402).

The spelling of 202000204200 in words is "two hundred two billion, two hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 4056229 8112458 12168687 16224916 20281145 24337374 32449832 40562290 48674748 60843435 81124580 97349496 101405725 121686870 162249160 202811450 243373740 304217175 336667007 405622900 486747480 608434350 673334014 811245800 1010001021 1216868700 1346668028 1683335035 2020002042 2433737400 2693336056 3366670070 4040004084 5050005105 6733340140 8080008168 8416675175 10100010210 13466680280 16833350350 20200020420 25250025525 33666700700 40400040840 50500051050 67333401400 101000102100 202000204200