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2195441820 = 22310511132
BaseRepresentation
bin1000001011011011…
…1100100010011100
312200000010000000000
42002312330202130
513444013114240
61001503534300
7105255643005
oct20266744234
95600100000
102195441820
11a272a6a30
125132ba390
1328cac6a00
1416b8121ac
15ccb1b430
hex82dbc89c

2195441820 has 396 divisors, whose sum is σ = 8169264936. Its totient is φ = 491287680.

The previous prime is 2195441803. The next prime is 2195441821. The reversal of 2195441820 is 281445912.

2195441820 is a `hidden beast` number, since 2 + 195 + 441 + 8 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195441821) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 168880134 + ... + 168880146.

Almost surely, 22195441820 is an apocalyptic number.

2195441820 is a gapful number since it is divisible by the number (20) 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 2195441820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084632468).

2195441820 is an abundant number, since it is smaller than the sum of its proper divisors (5973823116).

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

2195441820 is a wasteful number, since it uses less digits than its factorization.

2195441820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2195441820 is about 46855.5420414704. The cubic root of 2195441820 is about 1299.6925939813.

The spelling of 2195441820 in words is "two billion, one hundred ninety-five million, four hundred forty-one thousand, eight hundred twenty".