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25222022252 = 2272337383997
BaseRepresentation
bin10111011111010110…
…011000010001101100
32102002202200111002022
4113133112120101230
5403123314203002
615330431245312
71552011436400
oct273726302154
972082614068
1025222022252
11a7731a0699
124a7a979838
1324bc53152b
141313a5d100
159c942bba2
hex5df59846c

25222022252 has 72 divisors (see below), whose sum is σ = 51683433984. Its totient is φ = 10738441728.

The previous prime is 25222022173. The next prime is 25222022261.

It is a happy number.

25222022252 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25297418 + ... + 25298414.

It is an arithmetic number, because the mean of its divisors is an integer number (717825472).

Almost surely, 225222022252 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 25222022252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25841716992).

25222022252 is an abundant number, since it is smaller than the sum of its proper divisors (26461411732).

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

25222022252 is a wasteful number, since it uses less digits than its factorization.

25222022252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

It can be divided in two parts, 252220 and 22252, that added together give a palindrome (274472).

The spelling of 25222022252 in words is "twenty-five billion, two hundred twenty-two million, twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 337 383 674 766 997 1348 1532 1994 2359 2681 3988 4718 5362 6979 9436 10724 13958 16513 18767 27916 33026 37534 48853 66052 75068 97706 129071 195412 258142 335989 381851 516284 671978 763702 903497 1343956 1527404 1806994 2351923 2672957 3613988 4703846 5345914 6324479 9407692 10691828 12648958 16463461 18710699 25297916 32926922 37421398 65853844 74842796 128683787 257367574 514735148 900786509 1801573018 3603146036 6305505563 12611011126 25222022252