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2231300112 = 243194495449
BaseRepresentation
bin1000010011111110…
…1111000000010000
312202111120210022220
42010333233000100
514032203100422
61005224301040
7106202511066
oct20477570020
95674523286
102231300112
11a45568888
12523311780
13297370332
141724a8036
15d0d50e5c
hex84fef010

2231300112 has 80 divisors (see below), whose sum is σ = 6082200000. Its totient is φ = 702922752.

The previous prime is 2231300101. The next prime is 2231300119. The reversal of 2231300112 is 2110031322.

It is a super-3 number, since 3×22313001123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231300091 and 2231300100.

It is not an unprimeable number, because it can be changed into a prime (2231300119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406764 + ... + 412212.

It is an arithmetic number, because the mean of its divisors is an integer number (76027500).

Almost surely, 22231300112 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 2231300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041100000).

2231300112 is an abundant number, since it is smaller than the sum of its proper divisors (3850899888).

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

2231300112 is a wasteful number, since it uses less digits than its factorization.

2231300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2231300112 is about 47236.6395079074. The cubic root of 2231300112 is about 1306.7304030875.

Adding to 2231300112 its reverse (2110031322), we get a palindrome (4341331434).

The spelling of 2231300112 in words is "two billion, two hundred thirty-one million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 449 456 898 912 1347 1796 2694 3592 5388 5449 7184 8531 10776 10898 16347 17062 21552 21796 25593 32694 34124 43592 51186 65388 68248 87184 102372 103531 130776 136496 204744 207062 261552 310593 409488 414124 621186 828248 1242372 1656496 2446601 2484744 4893202 4969488 7339803 9786404 14679606 19572808 29359212 39145616 46485419 58718424 92970838 117436848 139456257 185941676 278912514 371883352 557825028 743766704 1115650056 2231300112