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2231111412 = 2233231018893
BaseRepresentation
bin1000010011111100…
…0000111011110100
312202111020012111000
42010333000323310
514032131031122
61005220243300
7106201063665
oct20477007364
95674205430
102231111412
11a4544a032
12523240530
1329730548a
1417245936c
15d0d150ac
hex84fc0ef4

2231111412 has 96 divisors (see below), whose sum is σ = 6096303360. Its totient is φ = 704246400.

The previous prime is 2231111411. The next prime is 2231111419. The reversal of 2231111412 is 2141111322.

2231111412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22311114123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231111411) 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, 246438 + ... + 255330.

It is an arithmetic number, because the mean of its divisors is an integer number (63503160).

Almost surely, 22231111412 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 2231111412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048151680).

2231111412 is an abundant number, since it is smaller than the sum of its proper divisors (3865191948).

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

2231111412 is a wasteful number, since it uses less digits than its factorization.

2231111412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 9022 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2231111412 is about 47234.6420754937. The cubic root of 2231111412 is about 1306.6935655241.

Adding to 2231111412 its reverse (2141111322), we get a palindrome (4372222734).

The spelling of 2231111412 in words is "two billion, two hundred thirty-one million, one hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 101 108 138 202 207 276 303 404 414 606 621 828 909 1212 1242 1818 2323 2484 2727 3636 4646 5454 6969 8893 9292 10908 13938 17786 20907 26679 27876 35572 41814 53358 62721 80037 83628 106716 125442 160074 204539 240111 250884 320148 409078 480222 613617 818156 898193 960444 1227234 1796386 1840851 2454468 2694579 3592772 3681702 5389158 5522553 7363404 8083737 10778316 11045106 16167474 20658439 22090212 24251211 32334948 41316878 48502422 61975317 82633756 97004844 123950634 185925951 247901268 371851902 557777853 743703804 1115555706 2231111412