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202000199984 = 24115323392941
BaseRepresentation
bin1011110000100000100…
…1100111000100110000
3201022101202000101001022
42330020021213010300
511302144022344414
6232444141155012
720410516240562
oct2741011470460
9638352011038
10202000199984
1178738935040
123319555ba68
131608283656b
149ac39cd332
1553c3d7618e
hex2f08267130

202000199984 has 80 divisors (see below), whose sum is σ = 436882421664. Its totient is φ = 89698252800.

The previous prime is 202000199983. The next prime is 202000200013. The reversal of 202000199984 is 489991000202.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (202000199983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2126954 + ... + 2219894.

Almost surely, 2202000199984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202000199984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218441210832).

202000199984 is an abundant number, since it is smaller than the sum of its proper divisors (234882221680).

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

202000199984 is a wasteful number, since it uses less digits than its factorization.

202000199984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93246 (or 93240 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 202000199984 in words is "two hundred two billion, one hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 233 424 466 583 848 932 1166 1864 2332 2563 3728 4664 5126 9328 10252 12349 20504 24698 41008 49396 92941 98792 135839 185882 197584 271678 371764 543356 743528 1022351 1086712 1487056 2044702 2173424 4089404 4925873 8178808 9851746 16357616 19703492 21655253 39406984 43310506 54184603 78813968 86621012 108369206 173242024 216738412 238207783 346484048 433476824 476415566 866953648 952831132 1147728409 1905662264 2295456818 3811324528 4590913636 9181827272 12625012499 18363654544 25250024998 50500049996 101000099992 202000199984