Search a number
-
+
198424512 = 26331121373
BaseRepresentation
bin10111101001110…
…11011111000000
3111211101000021000
423310323133000
5401244041022
631404532000
74626403056
oct1364733700
9454330230
10198424512
11a2007300
1256551000
1332155170
141c4d21d6
15126476ac
hexbd3b7c0

198424512 has 336 divisors, whose sum is σ = 699963040. Its totient is φ = 54743040.

The previous prime is 198424483. The next prime is 198424517. The reversal of 198424512 is 215424891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198424517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2718108 + ... + 2718180.

Almost surely, 2198424512 is an apocalyptic number.

198424512 is a gapful number since it is divisible by the number (12) 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 198424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349981520).

198424512 is an abundant number, since it is smaller than the sum of its proper divisors (501538528).

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

198424512 is a wasteful number, since it uses less digits than its factorization.

198424512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

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

The square root of 198424512 is about 14086.3235799835. The cubic root of 198424512 is about 583.2639127910.

The spelling of 198424512 in words is "one hundred ninety-eight million, four hundred twenty-four thousand, five hundred twelve".