Search a number
-
+
2212215312114 = 232260947106497
BaseRepresentation
bin100000001100010010010…
…011101100111011110010
321211111010002101200111200
4200030102103230323302
5242221104104441424
64412135551352030
7315553520615643
oct40142223547362
97744102350450
102212215312114
11783216964855
122b88aa522616
131307c3503a82
1479100dd96ca
153c828a538c9
hex203124ecef2

2212215312114 has 24 divisors (see below), whose sum is σ = 4794970431420. Its totient is φ = 737122449408.

The previous prime is 2212215312101. The next prime is 2212215312119. The reversal of 2212215312114 is 4112135122122.

2212215312114 is a `hidden beast` number, since 2 + 2 + 12 + 2 + 1 + 531 + 2 + 114 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1970921171025 + 241294141089 = 1403895^2 + 491217^2 .

It is not an unprimeable number, because it can be changed into a prime (2212215312119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23506287 + ... + 23600210.

Almost surely, 22212215312114 is an apocalyptic number.

2212215312114 is an abundant number, since it is smaller than the sum of its proper divisors (2582755119306).

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

2212215312114 is a wasteful number, since it uses less digits than its factorization.

2212215312114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47109114 (or 47109111 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The spelling of 2212215312114 in words is "two trillion, two hundred twelve billion, two hundred fifteen million, three hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 2609 5218 7827 15654 23481 46962 47106497 94212994 141319491 282638982 423958473 847916946 122900850673 245801701346 368702552019 737405104038 1106107656057 2212215312114