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202121984 = 283125469
BaseRepresentation
bin11000000110000…
…10001100000000
3112002022212020102
430003002030000
5403220400414
632020101532
75003002631
oct1403021400
9462285212
10202121984
11a4102269
12578348a8
1332b4b10c
141cbb5888
1512b27ede
hexc0c2300

202121984 has 36 divisors (see below), whose sum is σ = 416485440. Its totient is φ = 97797120.

The previous prime is 202121977. The next prime is 202122001. The reversal of 202121984 is 489121202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4799 + ... + 20670.

It is an arithmetic number, because the mean of its divisors is an integer number (11569040).

Almost surely, 2202121984 is an apocalyptic number.

It is an amenable number.

202121984 is an abundant number, since it is smaller than the sum of its proper divisors (214363456).

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

202121984 is an equidigital number, since it uses as much as digits as its factorization.

202121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25516 (or 25502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 202121984 is about 14216.9611380210. The cubic root of 202121984 is about 586.8645154550.

The spelling of 202121984 in words is "two hundred two million, one hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7936 25469 50938 101876 203752 407504 789539 815008 1579078 1630016 3158156 3260032 6316312 6520064 12632624 25265248 50530496 101060992 202121984