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2214131112 = 23344916959
BaseRepresentation
bin1000001111111000…
…1111010110101000
312201022021111220000
42003332033112220
514013304143422
61003412303000
7105603542514
oct20376172650
95638244800
102214131112
11a36901526
12519611a60
1329393b66b
141700b9144
15ce5adcac
hex83f8f5a8

2214131112 has 80 divisors (see below), whose sum is σ = 6215140800. Its totient is φ = 736434720.

The previous prime is 2214131107. The next prime is 2214131141. The reversal of 2214131112 is 2111314122.

It is a super-2 number, since 2×22141311122 = 9804753162252713088, which contains 22 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 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 19 ways as a sum of consecutive naturals, for example, 314689 + ... + 321647.

It is an arithmetic number, because the mean of its divisors is an integer number (77689260).

Almost surely, 22214131112 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 2214131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107570400).

2214131112 is an abundant number, since it is smaller than the sum of its proper divisors (4001009688).

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

2214131112 is a wasteful number, since it uses less digits than its factorization.

2214131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7455 counting only the distinct ones).

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

The square root of 2214131112 is about 47054.5546360817. The cubic root of 2214131112 is about 1303.3701730302.

Adding to 2214131112 its reverse (2111314122), we get a palindrome (4325445234).

The spelling of 2214131112 in words is "two billion, two hundred fourteen million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 491 648 982 1473 1964 2946 3928 4419 5892 6959 8838 11784 13257 13918 17676 20877 26514 27836 35352 39771 41754 53028 55672 62631 79542 83508 106056 125262 159084 167016 187893 250524 318168 375786 501048 563679 751572 1127358 1503144 2254716 3416869 4509432 6833738 10250607 13667476 20501214 27334952 30751821 41002428 61503642 82004856 92255463 123007284 184510926 246014568 276766389 369021852 553532778 738043704 1107065556 2214131112