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2197344240 = 2433572131597
BaseRepresentation
bin1000001011111000…
…1100111111110000
312200010200122122000
42002332030333300
514000010003430
61002012414000
7105311055300
oct20276147760
95603618560
102197344240
11a28386283
12513a77300
132903118c0
1416bb89600
15ccd94e60
hex82f8cff0

2197344240 has 480 divisors, whose sum is σ = 9487517760. Its totient is φ = 463325184.

The previous prime is 2197344209. The next prime is 2197344277. The reversal of 2197344240 is 424437912.

It is a super-2 number, since 2×21973442402 = 9656643418122355200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2197344195 and 2197344204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1375122 + ... + 1376718.

It is an arithmetic number, because the mean of its divisors is an integer number (19765662).

Almost surely, 22197344240 is an apocalyptic number.

2197344240 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 2197344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743758880).

2197344240 is an abundant number, since it is smaller than the sum of its proper divisors (7290173520).

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

2197344240 is a wasteful number, since it uses less digits than its factorization.

2197344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2197344240 is about 46875.8385524995. The cubic root of 2197344240 is about 1300.0678938900.

The spelling of 2197344240 in words is "two billion, one hundred ninety-seven million, three hundred forty-four thousand, two hundred forty".