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2272023292 = 2271125312653
BaseRepresentation
bin1000011101101100…
…0101001011111100
312212100012202000211
42013123011023330
514123114221132
61013241202204
7110205610420
oct20733051374
95770182024
102272023292
11a66552800
12534a90364
132a292b0a6
14177a68b80
15d46e7147
hex876c52fc

2272023292 has 72 divisors (see below), whose sum is σ = 5089337568. Its totient is φ = 868433280.

The previous prime is 2272023289. The next prime is 2272023319. The reversal of 2272023292 is 2923202722.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173238 + ... + 185890.

It is an arithmetic number, because the mean of its divisors is an integer number (70685244).

Almost surely, 22272023292 is an apocalyptic number.

2272023292 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 2272023292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544668784).

2272023292 is an abundant number, since it is smaller than the sum of its proper divisors (2817314276).

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

2272023292 is a wasteful number, since it uses less digits than its factorization.

2272023292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739 (or 12726 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 2272023292 is about 47665.7454782782. The cubic root of 2272023292 is about 1314.6321826892.

The spelling of 2272023292 in words is "two billion, two hundred seventy-two million, twenty-three thousand, two hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 121 154 212 242 308 371 484 583 742 847 1166 1484 1694 2332 3388 4081 6413 8162 12653 12826 16324 25306 25652 44891 50612 88571 89782 139183 177142 179564 278366 354284 556732 670609 974281 1341218 1531013 1948562 2682436 3062026 3897124 4694263 6124052 7376699 9388526 10717091 14753398 18777052 21434182 29506796 42868364 51636893 81143689 103273786 162287378 206547572 324574756 568005823 1136011646 2272023292