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2112157272 = 233537921019
BaseRepresentation
bin111110111100100…
…1111011001011000
312110012101201002010
41331321033121120
513311203013042
6545330505520
7103225016631
oct17571173130
95405351063
102112157272
11994292025
124ab4352a0
13278786604
14160732888
15c566959c
hex7de4f658

2112157272 has 64 divisors (see below), whose sum is σ = 5448384000. Its totient is φ = 681992064.

The previous prime is 2112157217. The next prime is 2112157277. The reversal of 2112157272 is 2727512112.

It is a super-2 number, since 2×21121572722 = 8922416683324963968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112157277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89979 + ... + 110997.

It is an arithmetic number, because the mean of its divisors is an integer number (85131000).

Almost surely, 22112157272 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 2112157272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724192000).

2112157272 is an abundant number, since it is smaller than the sum of its proper divisors (3336226728).

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

2112157272 is a wasteful number, since it uses less digits than its factorization.

2112157272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21160 (or 21156 counting only the distinct ones).

The product of its digits is 3920, while the sum is 30.

The square root of 2112157272 is about 45958.2122367700. The cubic root of 2112157272 is about 1283.0455781358.

Adding to 2112157272 its reverse (2727512112), we get a palindrome (4839669384).

The spelling of 2112157272 in words is "two billion, one hundred twelve million, one hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 79 106 158 159 212 237 316 318 424 474 632 636 948 1272 1896 4187 8374 12561 16748 21019 25122 33496 42038 50244 63057 84076 100488 126114 168152 252228 504456 1114007 1660501 2228014 3321002 3342021 4456028 4981503 6642004 6684042 8912056 9963006 13284008 13368084 19926012 26736168 39852024 88006553 176013106 264019659 352026212 528039318 704052424 1056078636 2112157272