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2014100220 = 2235114370969
BaseRepresentation
bin111100000001100…
…1011101011111100
312012100212220002110
41320003023223330
513111102201340
6531505054020
7100624366206
oct17003135374
95170786073
102014100220
119439a8340
12482627310
132613732a2
141516c9776
15bbc4a680
hex780cbafc

2014100220 has 96 divisors (see below), whose sum is σ = 6295322880. Its totient is φ = 476904960.

The previous prime is 2014100219. The next prime is 2014100233. The reversal of 2014100220 is 220014102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2014100196 and 2014100205.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7105 + ... + 63864.

It is an arithmetic number, because the mean of its divisors is an integer number (65576280).

Almost surely, 22014100220 is an apocalyptic number.

2014100220 is a gapful number since it is divisible by the number (20) 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 2014100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147661440).

2014100220 is an abundant number, since it is smaller than the sum of its proper divisors (4281222660).

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

2014100220 is a wasteful number, since it uses less digits than its factorization.

2014100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71035 (or 71033 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2014100220 is about 44878.7279231486. The cubic root of 2014100220 is about 1262.8749795538.

Adding to 2014100220 its reverse (220014102), we get a palindrome (2234114322).

The spelling of 2014100220 in words is "two billion, fourteen million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 9460 14190 28380 70969 141938 212907 283876 354845 425814 709690 780659 851628 1064535 1419380 1561318 2129070 2341977 3051667 3122636 3903295 4258140 4683954 6103334 7806590 9155001 9367908 11709885 12206668 15258335 15613180 18310002 23419770 30516670 33568337 36620004 45775005 46839540 61033340 67136674 91550010 100705011 134273348 167841685 183100020 201410022 335683370 402820044 503525055 671366740 1007050110 2014100220