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2144223840 = 2535112271789
BaseRepresentation
bin111111111001110…
…0100001001100000
312112102201212010210
41333303210021200
513342410130330
6552434054120
7104064413313
oct17763441140
95472655123
102144223840
11a003a4120
124ba11a340
13282303105
14164abc97a
15c83a08b0
hex7fce4260

2144223840 has 192 divisors, whose sum is σ = 7404929280. Its totient is φ = 517232640.

The previous prime is 2144223833. The next prime is 2144223857. The reversal of 2144223840 is 483224412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2144223798 and 2144223807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197666 + ... + 1199454.

It is an arithmetic number, because the mean of its divisors is an integer number (38567340).

Almost surely, 22144223840 is an apocalyptic number.

2144223840 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 2144223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702464640).

2144223840 is an abundant number, since it is smaller than the sum of its proper divisors (5260705440).

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

2144223840 is a wasteful number, since it uses less digits than its factorization.

2144223840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2144223840 is about 46305.7646519308. The cubic root of 2144223840 is about 1289.5060184227.

The spelling of 2144223840 in words is "two billion, one hundred forty-four million, two hundred twenty-three thousand, eight hundred forty".