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197270064 = 24322997487
BaseRepresentation
bin10111100001000…
…01101000110000
3111202012100122200
423300201220300
5401000120224
631324103200
74613524245
oct1360415060
9452170580
10197270064
11a1398a12
1256094b00
1331b3c864
141c2b15cc
15124ba5c9
hexbc21a30

197270064 has 120 divisors (see below), whose sum is σ = 578192160. Its totient is φ = 62705664.

The previous prime is 197270063. The next prime is 197270071. The reversal of 197270064 is 460072791.

It is a happy number.

197270064 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 (36).

It is not an unprimeable number, because it can be changed into a prime (197270063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404829 + ... + 405315.

It is an arithmetic number, because the mean of its divisors is an integer number (4818268).

Almost surely, 2197270064 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 197270064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289096080).

197270064 is an abundant number, since it is smaller than the sum of its proper divisors (380922096).

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

197270064 is a wasteful number, since it uses less digits than its factorization.

197270064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 197270064 is about 14045.2861843396. The cubic root of 197270064 is about 582.1305549040.

The spelling of 197270064 in words is "one hundred ninety-seven million, two hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 97 116 144 174 194 232 261 291 348 388 464 487 522 582 696 776 873 974 1044 1164 1392 1461 1552 1746 1948 2088 2328 2813 2922 3492 3896 4176 4383 4656 5626 5844 6984 7792 8439 8766 11252 11688 13968 14123 16878 17532 22504 23376 25317 28246 33756 35064 42369 45008 47239 50634 56492 67512 70128 84738 94478 101268 112984 127107 135024 141717 169476 188956 202536 225968 254214 283434 338952 377912 405072 425151 508428 566868 677904 755824 850302 1016856 1133736 1369931 1700604 2033712 2267472 2739862 3401208 4109793 5479724 6802416 8219586 10959448 12329379 16439172 21918896 24658758 32878344 49317516 65756688 98635032 197270064