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196208145 = 32573171283
BaseRepresentation
bin10111011000111…
…10011000010001
3111200012101222100
423230132120101
5400212130040
631245231013
74601512260
oct1354363021
9450171870
10196208145
11a08330a1
1255862469
133185a3c3
141c0b65d7
151235ab30
hexbb1e611

196208145 has 96 divisors (see below), whose sum is σ = 408305664. Its totient is φ = 85276800.

The previous prime is 196208143. The next prime is 196208161. The reversal of 196208145 is 541802691.

196208145 is a `hidden beast` number, since 19 + 620 + 8 + 14 + 5 = 666.

196208145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

196208145 is a nontrivial binomial coefficient, being equal to C(19810, 2).

It is not a de Polignac number, because 196208145 - 21 = 196208143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (196208141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 693174 + ... + 693456.

It is an arithmetic number, because the mean of its divisors is an integer number (4253184).

Almost surely, 2196208145 is an apocalyptic number.

196208145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

196208145 is the 19809-th triangular number and also the 9905-th hexagonal number.

It is an amenable number.

196208145 is an abundant number, since it is smaller than the sum of its proper divisors (212097519).

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

196208145 is a wasteful number, since it uses less digits than its factorization.

196208145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 196208145 is about 14007.4317774530. The cubic root of 196208145 is about 581.0841247105.

The spelling of 196208145 in words is "one hundred ninety-six million, two hundred eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 71 93 105 155 213 217 279 283 315 355 465 497 639 651 849 1065 1085 1395 1415 1491 1953 1981 2201 2485 2547 3195 3255 4245 4473 5943 6603 7455 8773 9765 9905 11005 12735 15407 17829 19809 20093 22365 26319 29715 33015 43865 46221 60279 61411 77035 78957 89145 99045 100465 131595 138663 140651 180837 184233 231105 301395 307055 394785 421953 552699 622883 693315 703255 904185 921165 1265859 1868649 2109765 2763495 3114415 4360181 5605947 6329295 9343245 13080543 21800905 28029735 39241629 65402715 196208145