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198271104 = 273975323
BaseRepresentation
bin10111101000101…
…10000010000000
3111211002012211020
423310112002000
5401224133404
631401345440
74625163603
oct1364260200
9454065736
10198271104
11a1a12019
1256498280
13321003a5
141c49233a
1512616ed9
hexbd16080

198271104 has 64 divisors (see below), whose sum is σ = 532187040. Its totient is φ = 65396736.

The previous prime is 198271103. The next prime is 198271111. The reversal of 198271104 is 401172891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1982711042 = 78622861362757632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198271103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34587 + ... + 39909.

Almost surely, 2198271104 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 198271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266093520).

198271104 is an abundant number, since it is smaller than the sum of its proper divisors (333915936).

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

198271104 is an equidigital number, since it uses as much as digits as its factorization.

198271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5437 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 198271104 is about 14080.8772453992. The cubic root of 198271104 is about 583.1135610383.

The spelling of 198271104 in words is "one hundred ninety-eight million, two hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 2328 3104 4656 5323 6208 9312 10646 12416 15969 18624 21292 31938 37248 42584 63876 85168 127752 170336 255504 340672 511008 516331 681344 1022016 1032662 1548993 2044032 2065324 3097986 4130648 6195972 8261296 12391944 16522592 24783888 33045184 49567776 66090368 99135552 198271104