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198885150 = 232523153269
BaseRepresentation
bin10111101101010…
…11111100011110
3111212020102010200
423312223330132
5401403311100
631422444330
74633332042
oct1366537436
9455212120
10198885150
11a22a13a2
12567336a6
1332286a29
141c5b2022
15126d8e00
hexbdabf1e

198885150 has 144 divisors (see below), whose sum is σ = 564071040. Its totient is φ = 50169600.

The previous prime is 198885139. The next prime is 198885151. The reversal of 198885150 is 51588891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 198885096 and 198885105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198885151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 739216 + ... + 739484.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2198885150 is an apocalyptic number.

198885150 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 198885150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282035520).

198885150 is an abundant number, since it is smaller than the sum of its proper divisors (365185890).

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

198885150 is a wasteful number, since it uses less digits than its factorization.

198885150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The square root of 198885150 is about 14102.6646418328. The cubic root of 198885150 is about 583.7149086227.

The spelling of 198885150 in words is "one hundred ninety-eight million, eight hundred eighty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 53 62 75 90 93 106 150 155 159 186 225 265 269 279 310 318 450 465 477 530 538 558 775 795 807 930 954 1325 1345 1395 1550 1590 1614 1643 2325 2385 2421 2650 2690 2790 3286 3975 4035 4650 4770 4842 4929 6725 6975 7950 8070 8215 8339 9858 11925 12105 13450 13950 14257 14787 16430 16678 20175 23850 24210 24645 25017 28514 29574 40350 41075 41695 42771 49290 50034 60525 71285 73935 75051 82150 83390 85542 121050 123225 125085 128313 142570 147870 150102 208475 213855 246450 250170 256626 356425 369675 375255 416950 427710 441967 625425 641565 712850 739350 750510 883934 1069275 1250850 1283130 1325901 1876275 2138550 2209835 2651802 3207825 3752550 3977703 4419670 6415650 6629505 7955406 11049175 13259010 19888515 22098350 33147525 39777030 66295050 99442575 198885150