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2124214404 = 2231322345541
BaseRepresentation
bin111111010011100…
…1111000010000100
312111001002021100120
41332213033002010
513322244330104
6550441141540
7103432344624
oct17647170204
95431067316
102124214404
119a00777a4
124b348a8b0
1327b118600
14162190884
15c674bcd9
hex7e9cf084

2124214404 has 72 divisors (see below), whose sum is σ = 5600572992. Its totient is φ = 625173120.

The previous prime is 2124214399. The next prime is 2124214409. The reversal of 2124214404 is 4044124212.

It is an interprime number because it is at equal distance from previous prime (2124214399) and next prime (2124214409).

It is a super-2 number, since 2×21242144042 = 9024573668322150432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2124214409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23874 + ... + 69414.

It is an arithmetic number, because the mean of its divisors is an integer number (77785736).

Almost surely, 22124214404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124214404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800286496).

2124214404 is an abundant number, since it is smaller than the sum of its proper divisors (3476358588).

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

2124214404 is a wasteful number, since it uses less digits than its factorization.

2124214404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45597 (or 45582 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2124214404 is about 46089.2005137863. The cubic root of 2124214404 is about 1285.4823453285.

Adding to 2124214404 its reverse (4044124212), we get a palindrome (6168338616).

The spelling of 2124214404 in words is "two billion, one hundred twenty-four million, two hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 338 507 598 676 897 1014 1196 1794 2028 3588 3887 7774 11661 15548 23322 45541 46644 91082 136623 182164 273246 546492 592033 1047443 1184066 1776099 2094886 2368132 3142329 3552198 4189772 6284658 7104396 7696429 12569316 13616759 15392858 23089287 27233518 30785716 40850277 46178574 54467036 81700554 92357148 163401108 177017867 354035734 531053601 708071468 1062107202 2124214404