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2095225902 = 2327116612287
BaseRepresentation
bin111110011100010…
…1001110000101110
312102000112111121100
41330320221300232
513242334212102
6543523543530
7102631061220
oct17470516056
95360474540
102095225902
11985778260
124a582aba6
13275108b53
1415c3a6410
15c3e22a1c
hex7ce29c2e

2095225902 has 96 divisors (see below), whose sum is σ = 5670872064. Its totient is φ = 543153600.

The previous prime is 2095225889. The next prime is 2095225907.

2095225902 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095225907) 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 47 ways as a sum of consecutive naturals, for example, 915003 + ... + 917289.

It is an arithmetic number, because the mean of its divisors is an integer number (59071584).

Almost surely, 22095225902 is an apocalyptic number.

2095225902 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2095225902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835436032).

2095225902 is an abundant number, since it is smaller than the sum of its proper divisors (3575646162).

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

2095225902 is a wasteful number, since it uses less digits than its factorization.

2095225902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2095225902 is about 45773.6376312829. The cubic root of 2095225902 is about 1279.6080143298.

The spelling of 2095225902 in words is "two billion, ninety-five million, two hundred twenty-five thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 661 693 1322 1386 1983 2287 3966 4574 4627 5949 6861 7271 9254 11898 13722 13881 14542 16009 20583 21813 25157 27762 32018 41166 41643 43626 48027 50314 50897 65439 75471 83286 96054 101794 130878 144081 150942 152691 176099 226413 288162 305382 352198 452826 458073 528297 916146 1056594 1511707 1584891 3023414 3169782 4535121 9070242 10581949 13605363 16628777 21163898 27210726 31745847 33257554 49886331 63491694 95237541 99772662 116401439 149658993 190475082 232802878 299317986 349204317 698408634 1047612951 2095225902