Search a number
-
+
198223300 = 225211315813
BaseRepresentation
bin10111101000010…
…10010111000100
3111210222210020201
423310022113010
5401221121200
631400340244
74624604332
oct1364122704
9453883221
10198223300
11a198a110
1256474684
13320b46c2
141c47cb52
1512607c6a
hexbd0a5c4

198223300 has 72 divisors (see below), whose sum is σ = 484468992. Its totient is φ = 69744000.

The previous prime is 198223297. The next prime is 198223321. The reversal of 198223300 is 3322891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31194 + ... + 37006.

It is an arithmetic number, because the mean of its divisors is an integer number (6728736).

Almost surely, 2198223300 is an apocalyptic number.

198223300 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 198223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242234496).

198223300 is an abundant number, since it is smaller than the sum of its proper divisors (286245692).

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

198223300 is a wasteful number, since it uses less digits than its factorization.

198223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 198223300 is about 14079.1796636026. The cubic root of 198223300 is about 583.0666935579.

The spelling of 198223300 in words is "one hundred ninety-eight million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 5813 6820 8525 11626 17050 23252 29065 34100 58130 63943 116260 127886 145325 180203 255772 290650 319715 360406 581300 639430 720812 901015 1278860 1598575 1802030 1982233 3197150 3604060 3964466 4505075 6394300 7928932 9010150 9911165 18020300 19822330 39644660 49555825 99111650 198223300