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1410220014 = 237192297717
BaseRepresentation
bin101010000001110…
…0011111111101110
310122021120121011220
41110003203333232
510342004020024
6351533524210
746642446420
oct12403437756
93567517156
101410220014
1166403a195
12334343666
13196219518
14d5412810
1583c12e79
hex540e3fee

1410220014 has 64 divisors (see below), whose sum is σ = 3408268800. Its totient is φ = 379997568.

The previous prime is 1410220013. The next prime is 1410220027. The reversal of 1410220014 is 4100220141.

It is a junction number, because it is equal to n+sod(n) for n = 1410219975 and 1410220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410220013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178884 + ... + 186600.

It is an arithmetic number, because the mean of its divisors is an integer number (53254200).

Almost surely, 21410220014 is an apocalyptic number.

1410220014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410220014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704134400).

1410220014 is an abundant number, since it is smaller than the sum of its proper divisors (1998048786).

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

1410220014 is a wasteful number, since it uses less digits than its factorization.

1410220014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1410220014 is about 37552.8962132084. The cubic root of 1410220014 is about 1121.4044917367.

Adding to 1410220014 its reverse (4100220141), we get a palindrome (5510440155).

The spelling of 1410220014 in words is "one billion, four hundred ten million, two hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 229 266 399 458 687 798 1374 1603 3206 4351 4809 7717 8702 9618 13053 15434 23151 26106 30457 46302 54019 60914 91371 108038 146623 162057 182742 293246 324114 439869 879738 1026361 1767193 2052722 3079083 3534386 5301579 6158166 10603158 12370351 24740702 33576667 37111053 67153334 74222106 100730001 201460002 235036669 470073338 705110007 1410220014