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2143332240 = 243571983809
BaseRepresentation
bin111111111000000…
…1010011110010000
312112101001120002120
41333300022132100
513342143112430
6552403014240
7104054011020
oct17760123620
95471046076
102143332240
119aa945265
124b996a380
1328208033a
14164929a80
15c8276610
hex7fc0a790

2143332240 has 320 divisors, whose sum is σ = 8099481600. Its totient is φ = 457961472.

The previous prime is 2143332209. The next prime is 2143332241. The reversal of 2143332240 is 422333412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2143332240.

It is not an unprimeable number, because it can be changed into a prime (2143332241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2648956 + ... + 2649764.

It is an arithmetic number, because the mean of its divisors is an integer number (25310880).

Almost surely, 22143332240 is an apocalyptic number.

2143332240 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 2143332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049740800).

2143332240 is an abundant number, since it is smaller than the sum of its proper divisors (5956149360).

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

2143332240 is a wasteful number, since it uses less digits than its factorization.

2143332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2143332240 is about 46296.1363398718. The cubic root of 2143332240 is about 1289.3272617496.

Adding to 2143332240 its reverse (422333412), we get a palindrome (2565665652).

The spelling of 2143332240 in words is "two billion, one hundred forty-three million, three hundred thirty-two thousand, two hundred forty".