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2192810742 = 232793075023
BaseRepresentation
bin1000001010110011…
…1010001011110110
312122211011022211200
42002230322023312
513442324420432
61001331313330
7105224404143
oct20254721366
95584138750
102192810742
11a2586a191
1251244b846
1328c3b5265
1416b3293ca
15cc79ba7c
hex82b3a2f6

2192810742 has 48 divisors (see below), whose sum is σ = 4827863040. Its totient is φ = 719190576.

The previous prime is 2192810723. The next prime is 2192810759. The reversal of 2192810742 is 2470182912.

2192810742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2192810697 and 2192810706.

It is a congruent number.

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, 434043 + ... + 439065.

It is an arithmetic number, because the mean of its divisors is an integer number (100580480).

Almost surely, 22192810742 is an apocalyptic number.

2192810742 is an abundant number, since it is smaller than the sum of its proper divisors (2635052298).

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

2192810742 is a wasteful number, since it uses less digits than its factorization.

2192810742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2192810742 is about 46827.4571378801. The cubic root of 2192810742 is about 1299.1731906256.

The spelling of 2192810742 in words is "two billion, one hundred ninety-two million, eight hundred ten thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 79 158 237 307 474 614 711 921 1422 1842 2763 5023 5526 10046 15069 24253 30138 45207 48506 72759 90414 145518 218277 396817 436554 793634 1190451 1542061 2380902 3084122 3571353 4626183 7142706 9252366 13878549 27757098 121822819 243645638 365468457 730936914 1096405371 2192810742