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2125521240 = 233537487983
BaseRepresentation
bin111111010110000…
…1110000101011000
312111010112122222220
41332230032011120
513323113134430
6550525144040
7103446426633
oct17654160530
95433478886
102125521240
119a088a627
124b39bb020
1327b48539b
14162410c1a
15c6909110
hex7eb0e158

2125521240 has 128 divisors (see below), whose sum is σ = 6569026560. Its totient is φ = 549794304.

The previous prime is 2125521227. The next prime is 2125521247. The reversal of 2125521240 is 421255212.

2125521240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21255212402 = 9035681083382275200, 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 2125521240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125521247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161789 + ... + 2162771.

It is an arithmetic number, because the mean of its divisors is an integer number (51320520).

Almost surely, 22125521240 is an apocalyptic number.

2125521240 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 2125521240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284513280).

2125521240 is an abundant number, since it is smaller than the sum of its proper divisors (4443505320).

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

2125521240 is a wasteful number, since it uses less digits than its factorization.

2125521240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2125521240 is about 46103.3755814040. The cubic root of 2125521240 is about 1285.7459047603.

Adding to 2125521240 its reverse (421255212), we get a palindrome (2546776452).

The spelling of 2125521240 in words is "two billion, one hundred twenty-five million, five hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 487 555 740 888 974 983 1110 1461 1480 1948 1966 2220 2435 2922 2949 3896 3932 4440 4870 4915 5844 5898 7305 7864 9740 9830 11688 11796 14610 14745 18019 19480 19660 23592 29220 29490 36038 36371 39320 54057 58440 58980 72076 72742 90095 108114 109113 117960 144152 145484 180190 181855 216228 218226 270285 290968 360380 363710 432456 436452 478721 540570 545565 720760 727420 872904 957442 1081140 1091130 1436163 1454840 1914884 2162280 2182260 2393605 2872326 3829768 4364520 4787210 5744652 7180815 9574420 11489304 14361630 17712677 19148840 28723260 35425354 53138031 57446520 70850708 88563385 106276062 141701416 177126770 212552124 265690155 354253540 425104248 531380310 708507080 1062760620 2125521240