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198104400 = 243352131783
BaseRepresentation
bin10111100111011…
…01010101010000
3111210202202011000
423303231111100
5401203320100
631354022000
74623600564
oct1363552520
9453682130
10198104400
11a190884a
1256417900
1332072550
141c44b6a4
15125d2900
hexbced550

198104400 has 480 divisors, whose sum is σ = 813697920. Its totient is φ = 45342720.

The previous prime is 198104381. The next prime is 198104411. The reversal of 198104400 is 4401891.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2386759 + ... + 2386841.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204).

Almost surely, 2198104400 is an apocalyptic number.

198104400 is a gapful number since it is divisible by the number (10) 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 198104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406848960).

198104400 is an abundant number, since it is smaller than the sum of its proper divisors (615593520).

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

198104400 is a wasteful number, since it uses less digits than its factorization.

198104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 198104400 is about 14074.9564830588. The cubic root of 198104400 is about 582.9500902191.

The spelling of 198104400 in words is "one hundred ninety-eight million, one hundred four thousand, four hundred".