Search a number
-
+
2112025240 = 2351312731981
BaseRepresentation
bin111110111100010…
…1111001010011000
312110012010222222001
41331320233022120
513311134301430
6545324010344
7103223626663
oct17570571230
95405128861
102112025240
11994201906
124ab3909b4
1327873b4a0
141606da6da
15c56403ca
hex7de2f298

2112025240 has 64 divisors (see below), whose sum is σ = 5158056960. Its totient is φ = 773660160.

The previous prime is 2112025189. The next prime is 2112025247. The reversal of 2112025240 is 425202112.

It is a super-2 number, since 2×21120252402 = 8921301228794115200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112025247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50050 + ... + 82030.

It is an arithmetic number, because the mean of its divisors is an integer number (80594640).

Almost surely, 22112025240 is an apocalyptic number.

2112025240 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 2112025240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579028480).

2112025240 is an abundant number, since it is smaller than the sum of its proper divisors (3046031720).

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

2112025240 is a wasteful number, since it uses less digits than its factorization.

2112025240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32132 (or 32128 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2112025240 is about 45956.7757789861. The cubic root of 2112025240 is about 1283.0188429733.

Adding to 2112025240 its reverse (425202112), we get a palindrome (2537227352).

It can be divided in two parts, 21120 and 25240, that added together give a triangular number (46360 = T304).

The spelling of 2112025240 in words is "two billion, one hundred twelve million, twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 508 520 635 1016 1270 1651 2540 3302 5080 6604 8255 13208 16510 31981 33020 63962 66040 127924 159905 255848 319810 415753 639620 831506 1279240 1663012 2078765 3326024 4061587 4157530 8123174 8315060 16246348 16630120 20307935 32492696 40615870 52800631 81231740 105601262 162463480 211202524 264003155 422405048 528006310 1056012620 2112025240