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2014224102 = 2321110399791
BaseRepresentation
bin111100000001110…
…1001111011100110
312012101010012000200
41320003221323212
513111120132402
6531511451330
7100625423322
oct17003517346
95171105020
102014224102
11943a82420
12482686b46
132613b77a7
1415171c982
15bbc7221c
hex780e9ee6

2014224102 has 48 divisors (see below), whose sum is σ = 4765962240. Its totient is φ = 609721200.

The previous prime is 2014224049. The next prime is 2014224263.

2014224102 is a `hidden beast` number, since 201 + 422 + 41 + 0 + 2 = 666.

2014224102 is nontrivially palindromic in base 10.

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

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 23 ways as a sum of consecutive naturals, for example, 200827 + ... + 210617.

It is an arithmetic number, because the mean of its divisors is an integer number (99290880).

Almost surely, 22014224102 is an apocalyptic number.

2014224102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2014224102 is an abundant number, since it is smaller than the sum of its proper divisors (2751738138).

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

2014224102 is a wasteful number, since it uses less digits than its factorization.

2014224102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849 (or 10846 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2014224102 is about 44880.1080881051. The cubic root of 2014224102 is about 1262.9008710609.

It can be divided in two parts, 20142 and 24102, that added together give a palindrome (44244).

The spelling of 2014224102 in words is "two billion, fourteen million, two hundred twenty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1039 2078 3117 6234 9351 9791 11429 18702 19582 22858 29373 34287 58746 68574 88119 102861 107701 176238 205722 215402 323103 646206 969309 1938618 10172849 20345698 30518547 61037094 91555641 111901339 183111282 223802678 335704017 671408034 1007112051 2014224102