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198222150 = 235272149181
BaseRepresentation
bin10111101000010…
…10000101000110
3111210222201200010
423310022011012
5401221102100
631400331050
74624601100
oct1364120506
9453881603
10198222150
11a1989265
1256473a86
13320b4019
141c47c570
1512607750
hexbd0a146

198222150 has 144 divisors (see below), whose sum is σ = 578869200. Its totient is φ = 44755200.

The previous prime is 198222121. The next prime is 198222151. The reversal of 198222150 is 51222891.

198222150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198222151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1095060 + ... + 1095240.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2198222150 is an apocalyptic number.

198222150 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 198222150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289434600).

198222150 is an abundant number, since it is smaller than the sum of its proper divisors (380647050).

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

198222150 is a wasteful number, since it uses less digits than its factorization.

198222150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 198222150 is about 14079.1388230957. The cubic root of 198222150 is about 583.0655659945.

The spelling of 198222150 in words is "one hundred ninety-eight million, two hundred twenty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 149 150 175 181 210 245 294 298 350 362 447 490 525 543 735 745 894 905 1043 1050 1086 1225 1267 1470 1490 1810 2086 2235 2450 2534 2715 3129 3675 3725 3801 4470 4525 5215 5430 6258 6335 7301 7350 7450 7602 8869 9050 10430 11175 12670 13575 14602 15645 17738 19005 21903 22350 26075 26607 26969 27150 31290 31675 36505 38010 43806 44345 52150 53214 53938 63350 73010 78225 80907 88690 95025 109515 133035 134845 156450 161814 182525 188783 190050 219030 221725 266070 269690 365050 377566 404535 443450 547575 566349 665175 674225 809070 943915 1095150 1132698 1321481 1330350 1348450 1887830 2022675 2642962 2831745 3964443 4045350 4719575 5663490 6607405 7928886 9439150 13214810 14158725 19822215 28317450 33037025 39644430 66074050 99111075 198222150