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2125220262 = 2311193534801
BaseRepresentation
bin111111010101100…
…0100100110100110
312111002222101010120
41332223010212212
513323024022022
6550514502410
7103444034304
oct17653044646
95432871116
102125220262
119a06a4490
124b3894a06
1327b3ab3a9
14162373274
15c6899d5c
hex7eac49a6

2125220262 has 64 divisors (see below), whose sum is σ = 4895735040. Its totient is φ = 608256000.

The previous prime is 2125220249. The next prime is 2125220299. The reversal of 2125220262 is 2620225212.

It is a happy number.

It is a super-2 number, since 2×21252202622 = 9033122324030697288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440262 + ... + 445062.

It is an arithmetic number, because the mean of its divisors is an integer number (76495860).

Almost surely, 22125220262 is an apocalyptic number.

2125220262 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125220262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447867520).

2125220262 is an abundant number, since it is smaller than the sum of its proper divisors (2770514778).

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

2125220262 is a wasteful number, since it uses less digits than its factorization.

2125220262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2125220262 is about 46100.1113013841. Note that the first 3 decimals coincide. The cubic root of 2125220262 is about 1285.6852138435.

Adding to 2125220262 its reverse (2620225212), we get a palindrome (4745445474).

It can be divided in two parts, 21252 and 20262, that added together give a palindrome (41514).

The spelling of 2125220262 in words is "two billion, one hundred twenty-five million, two hundred twenty thousand, two hundred sixty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 353 418 627 706 1059 1254 2118 3883 4801 6707 7766 9602 11649 13414 14403 20121 23298 28806 40242 52811 73777 91219 105622 147554 158433 182438 221331 273657 316866 442662 547314 1003409 1694753 2006818 3010227 3389506 5084259 6020454 10168518 18642283 32200307 37284566 55926849 64400614 96600921 111853698 193201842 354203377 708406754 1062610131 2125220262