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197223840 = 253251112451
BaseRepresentation
bin10111100000101…
…10010110100000
3111202010000020200
423300112112200
5400442130330
631323105200
74613242422
oct1360262640
9452100220
10197223840
11a1367210
1256072200
1331b247c8
141c29c812
15124aba60
hexbc165a0

197223840 has 144 divisors (see below), whose sum is σ = 734269536. Its totient is φ = 47808000.

The previous prime is 197223839. The next prime is 197223869. The reversal of 197223840 is 48322791.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 197223795 and 197223804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9615 + ... + 22065.

It is an arithmetic number, because the mean of its divisors is an integer number (5099094).

Almost surely, 2197223840 is an apocalyptic number.

197223840 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 197223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367134768).

197223840 is an abundant number, since it is smaller than the sum of its proper divisors (537045696).

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

197223840 is a wasteful number, since it uses less digits than its factorization.

197223840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483 (or 12472 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 197223840 is about 14043.6405536456. The cubic root of 197223840 is about 582.0850833912.

The spelling of 197223840 in words is "one hundred ninety-seven million, two hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 12451 15840 24902 37353 49804 62255 74706 99608 112059 124510 136961 149412 186765 199216 224118 249020 273922 298824 373530 398432 410883 448236 498040 547844 560295 597648 684805 747060 821766 896472 996080 1095688 1120590 1195296 1232649 1369610 1494120 1643532 1792944 1992160 2054415 2191376 2241180 2465298 2739220 2988240 3287064 3585888 4108830 4382752 4482360 4930596 5478440 5976480 6163245 6574128 8217660 8964720 9861192 10956880 12326490 13148256 16435320 17929440 19722384 21913760 24652980 32870640 39444768 49305960 65741280 98611920 197223840