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2192519052 = 2232532235153
BaseRepresentation
bin1000001010101111…
…0010111110001100
312122210121111201100
42002223302332030
513442241102202
61001321143100
7105222050553
oct20253627614
95583544640
102192519052
11a25690019
1251232aa90
1328c312569
1416b290d9a
15cc74041c
hex82af2f8c

2192519052 has 72 divisors (see below), whose sum is σ = 5673193344. Its totient is φ = 713696256.

The previous prime is 2192519039. The next prime is 2192519071. The reversal of 2192519052 is 2509152912.

It is a happy number.

2192519052 is a `hidden beast` number, since 2 + 1 + 92 + 519 + 0 + 52 = 666.

2192519052 is digitally balanced in base 2, 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 a junction number, because it is equal to n+sod(n) for n = 2192518998 and 2192519016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422908 + ... + 428060.

It is an arithmetic number, because the mean of its divisors is an integer number (78794352).

Almost surely, 22192519052 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 2192519052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836596672).

2192519052 is an abundant number, since it is smaller than the sum of its proper divisors (3480674292).

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

2192519052 is a wasteful number, since it uses less digits than its factorization.

2192519052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 2192519052 is about 46824.3425154054. The cubic root of 2192519052 is about 1299.1155822746.

The spelling of 2192519052 in words is "two billion, one hundred ninety-two million, five hundred nineteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 223 318 446 477 636 669 892 954 1338 1908 2007 2676 4014 5153 8028 10306 11819 15459 20612 23638 30918 35457 46377 47276 61836 70914 92754 106371 141828 185508 212742 273109 425484 546218 819327 1092436 1149119 1638654 2298238 2457981 3277308 3447357 4596476 4915962 6894714 9831924 10342071 13789428 20684142 41368284 60903307 121806614 182709921 243613228 365419842 548129763 730839684 1096259526 2192519052