Search a number
-
+
192202120 = 235111034241
BaseRepresentation
bin10110111010011…
…00010110001000
3111101122212202001
423131030112020
5343200431440
631023320344
74522456015
oct1335142610
9441585661
10192202120
1199547330
12544500b4
1330a86b86
141b75270c
1511d18b9a
hexb74c588

192202120 has 64 divisors (see below), whose sum is σ = 476461440. Its totient is φ = 69196800.

The previous prime is 192202057. The next prime is 192202123. The reversal of 192202120 is 21202291.

It is not an unprimeable number, because it can be changed into a prime (192202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43200 + ... + 47440.

It is an arithmetic number, because the mean of its divisors is an integer number (7444710).

Almost surely, 2192202120 is an apocalyptic number.

192202120 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 192202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238230720).

192202120 is an abundant number, since it is smaller than the sum of its proper divisors (284259320).

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

192202120 is a wasteful number, since it uses less digits than its factorization.

192202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 192202120 is about 13863.6979193864. The cubic root of 192202120 is about 577.1021928814.

The spelling of 192202120 in words is "one hundred ninety-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 4120 4241 4532 5665 8482 9064 11330 16964 21205 22660 33928 42410 45320 46651 84820 93302 169640 186604 233255 373208 436823 466510 873646 933020 1747292 1866040 2184115 3494584 4368230 4805053 8736460 9610106 17472920 19220212 24025265 38440424 48050530 96101060 192202120