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2215042440 = 2335132239457
BaseRepresentation
bin1000010000000110…
…1101110110001000
312201100222210222220
42010001231312020
514014022324230
61003444014040
7105614356452
oct20401556610
95640883886
102215042440
11a37374196
12519991320
13293b9a400
141702752d2
15ce6ddd10
hex8406dd88

2215042440 has 192 divisors, whose sum is σ = 7241529600. Its totient is φ = 541771776.

The previous prime is 2215042399. The next prime is 2215042463. The reversal of 2215042440 is 442405122.

It is a happy number.

It is a super-2 number, since 2×22150424402 = 9812826022002307200, which contains 22 as substring.

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 2215042440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4846692 + ... + 4847148.

It is an arithmetic number, because the mean of its divisors is an integer number (37716300).

Almost surely, 22215042440 is an apocalyptic number.

2215042440 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 2215042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620764800).

2215042440 is an abundant number, since it is smaller than the sum of its proper divisors (5026487160).

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

2215042440 is a wasteful number, since it uses less digits than its factorization.

2215042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2215042440 is about 47064.2373782897. The cubic root of 2215042440 is about 1303.5489692480.

Adding to 2215042440 its reverse (442405122), we get a palindrome (2657447562).

The spelling of 2215042440 in words is "two billion, two hundred fifteen million, forty-two thousand, four hundred forty".