Search a number
-
+
2015256144 = 2431123316381
BaseRepresentation
bin111100000011110…
…0101111001010000
312012110001121201110
41320013211321100
513111401144034
6531545533320
7100640252226
oct17007457120
95173047643
102015256144
11944617850
12482aa4240
13261689475
1415190ab16
15bbdc7de9
hex781e5e50

2015256144 has 80 divisors (see below), whose sum is σ = 5704081344. Its totient is φ = 608025600.

The previous prime is 2015256127. The next prime is 2015256151. The reversal of 2015256144 is 4416525102.

It is a super-2 number, since 2×20152561442 = 8122514651859497472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114834 + ... + 131214.

Almost surely, 22015256144 is an apocalyptic number.

2015256144 is a gapful number since it is divisible by the number (24) 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 2015256144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852040672).

2015256144 is an abundant number, since it is smaller than the sum of its proper divisors (3688825200).

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

2015256144 is a wasteful number, since it uses less digits than its factorization.

2015256144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16636 (or 16630 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2015256144 is about 44891.6043821114. The cubic root of 2015256144 is about 1263.1165279976.

The spelling of 2015256144 in words is "two billion, fifteen million, two hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 233 264 466 528 699 932 1398 1864 2563 2796 3728 5126 5592 7689 10252 11184 15378 16381 20504 30756 32762 41008 49143 61512 65524 98286 123024 131048 180191 196572 262096 360382 393144 540573 720764 786288 1081146 1441528 2162292 2883056 3816773 4324584 7633546 8649168 11450319 15267092 22900638 30534184 41984503 45801276 61068368 83969006 91602552 125953509 167938012 183205104 251907018 335876024 503814036 671752048 1007628072 2015256144