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2197147680 = 2538571323
BaseRepresentation
bin1000001011110101…
…1101000000100000
312200010022200000000
42002331131000200
513444432211210
61002004300000
7105306306240
oct20275350040
95603280000
102197147680
11a28261632
125139a1600
132902732b0
1416bb37b20
15ccd56ac0
hex82f5d020

2197147680 has 864 divisors, whose sum is σ = 9999085824. Its totient is φ = 443418624.

The previous prime is 2197147663. The next prime is 2197147769. The reversal of 2197147680 is 867417912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95528149 + ... + 95528171.

It is an arithmetic number, because the mean of its divisors is an integer number (11573016).

Almost surely, 22197147680 is an apocalyptic number.

2197147680 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 2197147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999542912).

2197147680 is an abundant number, since it is smaller than the sum of its proper divisors (7801938144).

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

2197147680 is an equidigital number, since it uses as much as digits as its factorization.

2197147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2197147680 is about 46873.7419031167. The cubic root of 2197147680 is about 1300.0291275525.

The spelling of 2197147680 in words is "two billion, one hundred ninety-seven million, one hundred forty-seven thousand, six hundred eighty".