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198897000 = 23353167397
BaseRepresentation
bin10111101101011…
…10110101101000
3111212021000101120
423312232311220
5401404201000
631423015240
74633411431
oct1366566550
9455230346
10198897000
11a22aa295
125673a520
133228c243
141c5b6488
15126dc6a0
hexbdaed68

198897000 has 128 divisors (see below), whose sum is σ = 625847040. Its totient is φ = 52588800.

The previous prime is 198896989. The next prime is 198897007. The reversal of 198897000 is 798891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198897007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500802 + ... + 501198.

It is an arithmetic number, because the mean of its divisors is an integer number (4889430).

Almost surely, 2198897000 is an apocalyptic number.

198897000 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 198897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312923520).

198897000 is an abundant number, since it is smaller than the sum of its proper divisors (426950040).

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

198897000 is a wasteful number, since it uses less digits than its factorization.

198897000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 198897000 is about 14103.0847689433. The cubic root of 198897000 is about 583.7265013842.

The spelling of 198897000 in words is "one hundred ninety-eight million, eight hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 167 200 250 300 334 375 397 500 501 600 668 750 794 835 1000 1002 1191 1336 1500 1588 1670 1985 2004 2382 2505 3000 3176 3340 3970 4008 4175 4764 5010 5955 6680 7940 8350 9528 9925 10020 11910 12525 15880 16700 19850 20040 20875 23820 25050 29775 33400 39700 41750 47640 49625 50100 59550 62625 66299 79400 83500 99250 100200 119100 125250 132598 148875 167000 198500 198897 238200 250500 265196 297750 331495 397000 397794 501000 530392 595500 662990 795588 994485 1191000 1325980 1591176 1657475 1988970 2651960 3314950 3977940 4972425 6629900 7955880 8287375 9944850 13259800 16574750 19889700 24862125 33149500 39779400 49724250 66299000 99448500 198897000