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192001914 = 2341327013
BaseRepresentation
bin10110111000110…
…11011101111010
3111101021201010000
423130123131322
5343123030124
631015133430
74520663226
oct1334333572
9441251100
10192001914
119941a975
1254374276
1330a16a00
141b6dd786
1511cc96c9
hexb71b77a

192001914 has 60 divisors (see below), whose sum is σ = 465933006. Its totient is φ = 59069088.

The previous prime is 192001903. The next prime is 192001919. The reversal of 192001914 is 419100291.

It can be written as a sum of positive squares in 3 ways, for example, as 131675625 + 60326289 = 11475^2 + 7767^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (192001919) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23872 + ... + 30884.

Almost surely, 2192001914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192001914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232966503).

192001914 is an abundant number, since it is smaller than the sum of its proper divisors (273931092).

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

192001914 is a wasteful number, since it uses less digits than its factorization.

192001914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7053 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 192001914 is about 13856.4755259048. The cubic root of 192001914 is about 576.9017451066.

The spelling of 192001914 in words is "one hundred ninety-two million, one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 7013 9126 13689 14026 21039 27378 42078 63117 91169 126234 182338 189351 273507 378702 547014 568053 820521 1136106 1185197 1641042 2370394 2461563 3555591 4923126 7111182 7384689 10666773 14769378 21333546 32000319 64000638 96000957 192001914