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2214322144 = 252918113183
BaseRepresentation
bin1000001111111011…
…1101111111100000
312201022122012221021
42003332331333200
514013331302034
61003420335224
7105605266456
oct20376757740
95638565837
102214322144
11a36a22001
125196a4514
132939a75b8
141701289d6
15ce5ea6b4
hex83fbdfe0

2214322144 has 48 divisors (see below), whose sum is σ = 4535032320. Its totient is φ = 1062996480.

The previous prime is 2214322127. The next prime is 2214322151. The reversal of 2214322144 is 4412234122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161377 + ... + 174559.

It is an arithmetic number, because the mean of its divisors is an integer number (94479840).

Almost surely, 22214322144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267516160).

2214322144 is an abundant number, since it is smaller than the sum of its proper divisors (2320710176).

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

2214322144 is a wasteful number, since it uses less digits than its factorization.

2214322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13403 (or 13395 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 2214322144 is about 47056.5844914397. The cubic root of 2214322144 is about 1303.4076562441.

Adding to 2214322144 its reverse (4412234122), we get a palindrome (6626556266).

The spelling of 2214322144 in words is "two billion, two hundred fourteen million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 181 232 362 464 724 928 1448 2896 5249 5792 10498 13183 20996 26366 41992 52732 83984 105464 167968 210928 382307 421856 764614 1529228 2386123 3058456 4772246 6116912 9544492 12233824 19088984 38177968 69197567 76355936 138395134 276790268 553580536 1107161072 2214322144