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95220000000 = 283257232
BaseRepresentation
bin101100010101110001…
…1011110010100000000
3100002210001020011221200
41120223203132110000
53030002310000000
6111424331021200
76610432434306
oct1305343362400
9302701204850
1095220000000
1137423231384
1216554b9a800
138c9641b588
1448742aa276
15272478d500
hex162b8de500

95220000000 has 648 divisors, whose sum is σ = 358747030824. Its totient is φ = 24288000000.

The previous prime is 95219999989. The next prime is 95220000019. The reversal of 95220000000 is 2259.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 94194975744 + 1025024256 = 306912^2 + 32016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4139999989 + ... + 4140000011.

Almost surely, 295220000000 is an apocalyptic number.

95220000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179373515412).

95220000000 is an abundant number, since it is smaller than the sum of its proper divisors (263527030824).

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

95220000000 is an frugal number, since it uses more digits than its factorization.

95220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Multiplying 95220000000 by its product of nonzero digits (180), we get a square (17139600000000 = 41400002).

95220000000 divided by its product of nonzero digits (180) gives a square (529000000 = 230002).

Adding to 95220000000 its reverse (2259), we get a palindrome (95220002259).

The spelling of 95220000000 in words is "ninety-five billion, two hundred twenty million", and thus it is an aban number.