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2252024160 = 25354691717
BaseRepresentation
bin1000011000111011…
…0010100101100000
312210221120200101020
42012032302211200
514103004233120
61011244405440
7106543614051
oct20616624540
95727520336
102252024160
11a562330a1
1252a246880
1329b748199
14175140728
15d2a96640
hex863b2960

2252024160 has 48 divisors (see below), whose sum is σ = 7093877616. Its totient is φ = 600539648.

The previous prime is 2252024141. The next prime is 2252024161. The reversal of 2252024160 is 614202522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22520241602 = 10143225634447411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2252024160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252024161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2345379 + ... + 2346338.

It is an arithmetic number, because the mean of its divisors is an integer number (147789117).

Almost surely, 22252024160 is an apocalyptic number.

2252024160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252024160 is an abundant number, since it is smaller than the sum of its proper divisors (4841853456).

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

2252024160 is a wasteful number, since it uses less digits than its factorization.

2252024160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691735 (or 4691727 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2252024160 is about 47455.4966257861. The cubic root of 2252024160 is about 1310.7635274685.

Adding to 2252024160 its reverse (614202522), we get a palindrome (2866226682).

The spelling of 2252024160 in words is "two billion, two hundred fifty-two million, twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4691717 9383434 14075151 18766868 23458585 28150302 37533736 46917170 56300604 70375755 75067472 93834340 112601208 140751510 150134944 187668680 225202416 281503020 375337360 450404832 563006040 750674720 1126012080 2252024160