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2231000112 = 2431140910331
BaseRepresentation
bin1000010011111010…
…0101110000110000
312202111000112210210
42010332211300300
514032114000422
61005214024120
7106200121335
oct20476456060
95674015723
102231000112
11a45383450
125231a8040
13297296913
1417242a98c
15d0ce210c
hex84fa5c30

2231000112 has 80 divisors (see below), whose sum is σ = 6303346560. Its totient is φ = 674342400.

The previous prime is 2231000111. The next prime is 2231000173. The reversal of 2231000112 is 2110001322.

It is a super-3 number, since 3×22310001123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2231000111) 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, 210787 + ... + 221117.

It is an arithmetic number, because the mean of its divisors is an integer number (78791832).

Almost surely, 22231000112 is an apocalyptic number.

2231000112 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 2231000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151673280).

2231000112 is an abundant number, since it is smaller than the sum of its proper divisors (4072346448).

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

2231000112 is a wasteful number, since it uses less digits than its factorization.

2231000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10762 (or 10756 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2231000112 is about 47233.4639000783. The cubic root of 2231000112 is about 1306.6718368299.

Adding to 2231000112 its reverse (2110001322), we get a palindrome (4341001434).

The spelling of 2231000112 in words is "two billion, two hundred thirty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 409 528 818 1227 1636 2454 3272 4499 4908 6544 8998 9816 10331 13497 17996 19632 20662 26994 30993 35992 41324 53988 61986 71984 82648 107976 113641 123972 165296 215952 227282 247944 340923 454564 495888 681846 909128 1363692 1818256 2727384 4225379 5454768 8450758 12676137 16901516 25352274 33803032 46479169 50704548 67606064 92958338 101409096 139437507 185916676 202818192 278875014 371833352 557750028 743666704 1115500056 2231000112