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1440000224 = 25135875897
BaseRepresentation
bin101010111010100…
…1010100011100000
310201100121120221122
41111311022203200
510422120001344
6354520111412
750453541245
oct12565124340
93640546848
101440000224
1167992a533
12342305568
1319c445450
14d93655cc
1586646aee
hex55d4a8e0

1440000224 has 48 divisors (see below), whose sum is σ = 3058797168. Its totient is φ = 663370752.

The previous prime is 1440000217. The next prime is 1440000227. The reversal of 1440000224 is 4220000441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440000227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241244 + ... + 247140.

It is an arithmetic number, because the mean of its divisors is an integer number (63724941).

Almost surely, 21440000224 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 1440000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529398584).

1440000224 is an abundant number, since it is smaller than the sum of its proper divisors (1618796944).

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

1440000224 is a wasteful number, since it uses less digits than its factorization.

1440000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1440000224 is about 37947.3348734796. The cubic root of 1440000224 is about 1129.2432932106.

Adding to 1440000224 its reverse (4220000441), we get a palindrome (5660000665).

The spelling of 1440000224 in words is "one billion, four hundred forty million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 587 1174 2348 4696 5897 7631 9392 11794 15262 18784 23588 30524 47176 61048 76661 94352 122096 153322 188704 244192 306644 613288 1226576 2453152 3461539 6923078 13846156 27692312 45000007 55384624 90000014 110769248 180000028 360000056 720000112 1440000224