Search a number
-
+
198014544 = 24347132373
BaseRepresentation
bin10111100110101…
…11011001010000
3111210121011220000
423303113121100
5401142431134
631352050000
74623044610
oct1363273120
9453534800
10198014544
11a1857292
1256393900
1332040690
141c426a40
15125b5e99
hexbcd7650

198014544 has 400 divisors, whose sum is σ = 746118912. Its totient is φ = 49268736.

The previous prime is 198014507. The next prime is 198014549. The reversal of 198014544 is 445410891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 198014499 and 198014508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198014549) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2712492 + ... + 2712564.

Almost surely, 2198014544 is an apocalyptic number.

198014544 is a gapful number since it is divisible by the number (14) 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 198014544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373059456).

198014544 is an abundant number, since it is smaller than the sum of its proper divisors (548104368).

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

198014544 is a wasteful number, since it uses less digits than its factorization.

198014544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 198014544 is about 14071.7640685168. The cubic root of 198014544 is about 582.8619389126.

The spelling of 198014544 in words is "one hundred ninety-eight million, fourteen thousand, five hundred forty-four".