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2210143012 = 2271129349709
BaseRepresentation
bin1000001110111100…
…0001101100100100
312201000202220020121
42003233001230210
514011244034022
61003151011324
7105524622430
oct20357015444
95630686217
102210143012
11a34628180
12518209b44
13292b7333c
1416d75b9c0
15ce0722c7
hex83bc1b24

2210143012 has 96 divisors (see below), whose sum is σ = 5009760000. Its totient is φ = 827850240.

The previous prime is 2210142973. The next prime is 2210143031. The reversal of 2210143012 is 2103410122.

It is a super-3 number, since 3×22101430123 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3116914 + ... + 3117622.

It is an arithmetic number, because the mean of its divisors is an integer number (52185000).

Almost surely, 22210143012 is an apocalyptic number.

2210143012 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 2210143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504880000).

2210143012 is an abundant number, since it is smaller than the sum of its proper divisors (2799616988).

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

2210143012 is a wasteful number, since it uses less digits than its factorization.

2210143012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2210143012 is about 47012.1581295732. The cubic root of 2210143012 is about 1302.5871578852.

Adding to 2210143012 its reverse (2103410122), we get a palindrome (4313553134).

The spelling of 2210143012 in words is "two billion, two hundred ten million, one hundred forty-three thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 349 406 638 698 709 812 1276 1396 1418 2233 2443 2836 3839 4466 4886 4963 7678 7799 8932 9772 9926 10121 15356 15598 19852 20242 20561 26873 31196 40484 41122 53746 54593 70847 82244 107492 109186 111331 141694 143927 218372 222662 226171 247441 283388 287854 445324 452342 494882 575708 779317 904684 989764 1558634 1583197 1732087 2721851 3117268 3166394 3464174 5443702 6332788 6928348 7175789 10887404 14351578 19052957 28703156 38105914 50230523 76211828 78933679 100461046 157867358 200922092 315734716 552535753 1105071506 2210143012