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2196915840 = 273257232103
BaseRepresentation
bin1000001011110010…
…0100011010000000
312200002212212222100
42002330210122000
513444402301330
61001555310400
7105304322310
oct20274443200
95602785870
102196915840
11a28113429
125138ab400
132901c1902
1416bab7440
15ccd0d060
hex82f24680

2196915840 has 576 divisors, whose sum is σ = 9151309440. Its totient is φ = 475656192.

The previous prime is 2196915839. The next prime is 2196915841. The reversal of 2196915840 is 485196912.

2196915840 is a `hidden beast` number, since 2 + 1 + 9 + 69 + 1 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2196915839) and next prime (2196915841).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196915841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21329229 + ... + 21329331.

It is an arithmetic number, because the mean of its divisors is an integer number (15887690).

Almost surely, 22196915840 is an apocalyptic number.

2196915840 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 2196915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575654720).

2196915840 is an abundant number, since it is smaller than the sum of its proper divisors (6954393600).

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

2196915840 is a wasteful number, since it uses less digits than its factorization.

2196915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2196915840 is about 46871.2688115011. The cubic root of 2196915840 is about 1299.9834001825.

The spelling of 2196915840 in words is "two billion, one hundred ninety-six million, nine hundred fifteen thousand, eight hundred forty".