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202114808 = 2373731009
BaseRepresentation
bin11000000110000…
…00011011111000
3112002022111101122
430003000123320
5403220133213
632020004412
75002643000
oct1403003370
9462274348
10202114808
11a40a7935
1257830708
1332b47a7c
141cbb3000
1512b25d08
hexc0c06f8

202114808 has 64 divisors (see below), whose sum is σ = 448440000. Its totient is φ = 85349376.

The previous prime is 202114793. The next prime is 202114841. The reversal of 202114808 is 808411202.

It is a super-2 number, since 2×2021148082 = 81700791225753728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199808 + ... + 200816.

It is an arithmetic number, because the mean of its divisors is an integer number (7006875).

Almost surely, 2202114808 is an apocalyptic number.

202114808 is a gapful number since it is divisible by the number (28) 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 202114808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224220000).

202114808 is an abundant number, since it is smaller than the sum of its proper divisors (246325192).

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

202114808 is a wasteful number, since it uses less digits than its factorization.

202114808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 202114808 is about 14216.7087611725. The cubic root of 202114808 is about 586.8575701614.

The spelling of 202114808 in words is "two hundred two million, one hundred fourteen thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 343 392 511 584 686 1009 1022 1372 2018 2044 2744 3577 4036 4088 7063 7154 8072 14126 14308 25039 28252 28616 49441 50078 56504 73657 98882 100156 147314 197764 200312 294628 346087 395528 515599 589256 692174 1031198 1384348 2062396 2768696 3609193 4124792 7218386 14436772 25264351 28873544 50528702 101057404 202114808