Search a number
-
+
198203040 = 2532572532
BaseRepresentation
bin10111101000001…
…01011010100000
3111210221202110100
423310011122200
5401214444130
631400102400
74624461300
oct1364053240
9453852410
10198203040
11a1975972
1256464a00
13320a8409
141c475600
1512601c60
hexbd056a0

198203040 has 324 divisors, whose sum is σ = 801920574. Its totient is φ = 44448768.

The previous prime is 198202999. The next prime is 198203063. The reversal of 198203040 is 40302891.

It can be written as a sum of positive squares in 3 ways, for example, as 187470864 + 10732176 = 13692^2 + 3276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 198202995 and 198203013.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3739654 + ... + 3739706.

Almost surely, 2198203040 is an apocalyptic number.

198203040 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 198203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400960287).

198203040 is an abundant number, since it is smaller than the sum of its proper divisors (603717534).

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

198203040 is a wasteful number, since it uses less digits than its factorization.

198203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 198203040 is about 14078.4601430696. The cubic root of 198203040 is about 583.0468281945.

The spelling of 198203040 in words is "one hundred ninety-eight million, two hundred three thousand, forty".