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197129016 = 23327794951
BaseRepresentation
bin10111011111111…
…11001100111000
3111201221012011200
423233333030320
5400431112031
631321054200
74612366110
oct1357771470
9451835150
10197129016
11a1301a47
1256027360
1331ac05b6
141c276040
151248d8e6
hexbbff338

197129016 has 96 divisors (see below), whose sum is σ = 618009600. Its totient is φ = 55598400.

The previous prime is 197128973. The next prime is 197129017. The reversal of 197129016 is 610921791.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197129017) 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 23 ways as a sum of consecutive naturals, for example, 37341 + ... + 42291.

It is an arithmetic number, because the mean of its divisors is an integer number (6437600).

Almost surely, 2197129016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197129016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309004800).

197129016 is an abundant number, since it is smaller than the sum of its proper divisors (420880584).

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

197129016 is a wasteful number, since it uses less digits than its factorization.

197129016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 197129016 is about 14040.2641000802. The cubic root of 197129016 is about 581.9917808029.

The spelling of 197129016 in words is "one hundred ninety-seven million, one hundred twenty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 4424 4951 4977 5688 6636 9902 9954 13272 14853 19804 19908 29706 34657 39608 39816 44559 59412 69314 89118 103971 118824 138628 178236 207942 277256 311913 356472 391129 415884 623826 782258 831768 1173387 1247652 1564516 2346774 2495304 2737903 3129032 3520161 4693548 5475806 7040322 8213709 9387096 10951612 14080644 16427418 21903224 24641127 28161288 32854836 49282254 65709672 98564508 197129016