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2102192092 = 22711131633221
BaseRepresentation
bin111110101001100…
…1110011111011100
312102111122102102101
41331103032133130
513301130121332
6544333134444
7103044223630
oct17523163734
95374572371
102102192092
119896a6040
124a802a424
132766a7860
1415d29adc0
15c484bae7
hex7d4ce7dc

2102192092 has 96 divisors (see below), whose sum is σ = 4971262464. Its totient is φ = 751161600.

The previous prime is 2102192089. The next prime is 2102192093. The reversal of 2102192092 is 2902912012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2102192092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102192093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651042 + ... + 654262.

It is an arithmetic number, because the mean of its divisors is an integer number (51783984).

Almost surely, 22102192092 is an apocalyptic number.

2102192092 is a gapful number since it is divisible by the number (22) 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 2102192092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485631232).

2102192092 is an abundant number, since it is smaller than the sum of its proper divisors (2869070372).

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

2102192092 is a wasteful number, since it uses less digits than its factorization.

2102192092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 2102192092 is about 45849.6683957474. The cubic root of 2102192092 is about 1281.0245889810.

It can be divided in two parts, 21021920 and 92, that added together give a palindrome (21022012).

The spelling of 2102192092 in words is "two billion, one hundred two million, one hundred ninety-two thousand, ninety-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 163 182 286 308 326 364 572 652 1001 1141 1793 2002 2119 2282 3221 3586 4004 4238 4564 6442 7172 8476 12551 12884 14833 22547 23309 25102 29666 35431 41873 45094 46618 50204 59332 70862 83746 90188 93236 141724 163163 167492 248017 293111 326326 460603 496034 525023 586222 652652 921206 992068 1050046 1172444 1842412 2100092 3224221 3675161 5775253 6448442 6825299 7350322 11550506 12896884 13650598 14700644 23101012 27301196 40426771 47777093 75078289 80853542 95554186 150156578 161707084 191108372 300313156 525548023 1051096046 2102192092