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198213030 = 232517353367
BaseRepresentation
bin10111101000001…
…11110110100110
3111210222021011100
423310013312212
5401220304110
631400220530
74624532361
oct1364076646
9453867140
10198213030
11a1982424
125646a746
13320acb22
141c4790d8
1512604bc0
hexbd07da6

198213030 has 96 divisors (see below), whose sum is σ = 548705664. Its totient is φ = 49471488.

The previous prime is 198213023. The next prime is 198213079. The reversal of 198213030 is 30312891.

It is a junction number, because it is equal to n+sod(n) for n = 198212985 and 198213003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539907 + ... + 540273.

It is an arithmetic number, because the mean of its divisors is an integer number (5715684).

Almost surely, 2198213030 is an apocalyptic number.

198213030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274352832).

198213030 is an abundant number, since it is smaller than the sum of its proper divisors (350492634).

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

198213030 is a wasteful number, since it uses less digits than its factorization.

198213030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 198213030 is about 14078.8149359241. The cubic root of 198213030 is about 583.0566237724.

The spelling of 198213030 in words is "one hundred ninety-eight million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 353 367 510 706 734 765 1059 1101 1530 1765 1835 2118 2202 3177 3303 3530 3670 5295 5505 6001 6239 6354 6606 10590 11010 12002 12478 15885 16515 18003 18717 30005 31195 31770 33030 36006 37434 54009 56151 60010 62390 90015 93585 108018 112302 129551 180030 187170 259102 270045 280755 388653 540090 561510 647755 777306 1165959 1295510 1943265 2202367 2331918 3886530 4404734 5829795 6607101 11011835 11659590 13214202 19821303 22023670 33035505 39642606 66071010 99106515 198213030