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198937216 = 272953593
BaseRepresentation
bin10111101101110…
…00101010000000
3111212100001120001
423312320222000
5401411442331
631423525344
74633636612
oct1366705200
9455301501
10198937216
11a2327525
1256759854
13322a463a
141c5c6db2
15126e9561
hexbdb8a80

198937216 has 32 divisors (see below), whose sum is σ = 409994100. Its totient is φ = 96036864.

The previous prime is 198937183. The next prime is 198937231. The reversal of 198937216 is 612739891.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 198922816 + 14400 = 14104^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23085 + ... + 30508.

Almost surely, 2198937216 is an apocalyptic number.

198937216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198937216 is an abundant number, since it is smaller than the sum of its proper divisors (211056884).

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

198937216 is an equidigital number, since it uses as much as digits as its factorization.

198937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53636 (or 53624 counting only the distinct ones).

The product of its digits is 163296, while the sum is 46.

The square root of 198937216 is about 14104.5104842387. The cubic root of 198937216 is about 583.7658409468.

The spelling of 198937216 in words is "one hundred ninety-eight million, nine hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 53593 107186 214372 428744 857488 1554197 1714976 3108394 3429952 6216788 6859904 12433576 24867152 49734304 99468608 198937216