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2214040520 = 235971513779
BaseRepresentation
bin1000001111110111…
…1001001111001000
312201022002220121202
42003331321033020
514013243244040
61003410323332
7105603014426
oct20375711710
95638086552
102214040520
11a3684a45a
12519589548
13293909363
14170094116
15ce592015
hex83f793c8

2214040520 has 64 divisors (see below), whose sum is σ = 5067619200. Its totient is φ = 870451200.

The previous prime is 2214040501. The next prime is 2214040523. The reversal of 2214040520 is 250404122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2214040492 and 2214040501.

It is not an unprimeable number, because it can be changed into a prime (2214040523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 583991 + ... + 587769.

It is an arithmetic number, because the mean of its divisors is an integer number (79181550).

Almost surely, 22214040520 is an apocalyptic number.

2214040520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214040520 is an abundant number, since it is smaller than the sum of its proper divisors (2853578680).

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

2214040520 is a wasteful number, since it uses less digits than its factorization.

2214040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2214040520 is about 47053.5919989112. The cubic root of 2214040520 is about 1303.3523968289.

Adding to 2214040520 its reverse (250404122), we get a palindrome (2464444642).

The spelling of 2214040520 in words is "two billion, two hundred fourteen million, forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 151 194 302 388 485 604 755 776 970 1208 1510 1940 3020 3779 3880 6040 7558 14647 15116 18895 29294 30232 37790 58588 73235 75580 117176 146470 151160 292940 366563 570629 585880 733126 1141258 1466252 1832815 2282516 2853145 2932504 3665630 4565032 5706290 7331260 11412580 14662520 22825160 55351013 110702026 221404052 276755065 442808104 553510130 1107020260 2214040520