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2125032072 = 233292127829
BaseRepresentation
bin111111010101001…
…0110101010001000
312111002121210222120
41332222112222020
513323002011242
6550510451240
7103442321532
oct17652265210
95432553876
102125032072
119a0586059
124b3803b20
1327b343837
14162324852
15c685e1ec
hex7ea96a88

2125032072 has 96 divisors (see below), whose sum is σ = 5552102400. Its totient is φ = 677714688.

The previous prime is 2125032023. The next prime is 2125032073. The reversal of 2125032072 is 2702305212.

It is a happy number.

It is a super-2 number, since 2×21250320722 = 9031522614057226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2125032073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2562954 + ... + 2563782.

It is an arithmetic number, because the mean of its divisors is an integer number (57834400).

Almost surely, 22125032072 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 2125032072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776051200).

2125032072 is an abundant number, since it is smaller than the sum of its proper divisors (3427070328).

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

2125032072 is a wasteful number, since it uses less digits than its factorization.

2125032072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2125032072 is about 46098.0701548340. The cubic root of 2125032072 is about 1285.6472632294.

Adding to 2125032072 its reverse (2702305212), we get a palindrome (4827337284).

The spelling of 2125032072 in words is "two billion, one hundred twenty-five million, thirty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 127 174 232 254 348 381 508 696 762 829 841 1016 1524 1658 1682 2487 2523 3048 3316 3364 3683 4974 5046 6632 6728 7366 9948 10092 11049 14732 19896 20184 22098 24041 29464 44196 48082 72123 88392 96164 105283 106807 144246 192328 210566 213614 288492 315849 320421 421132 427228 576984 631698 640842 697189 842264 854456 1263396 1281684 1394378 2091567 2526792 2563368 2788756 3053207 4183134 5577512 6106414 8366268 9159621 12212828 16732536 18319242 24425656 36638484 73276968 88543003 177086006 265629009 354172012 531258018 708344024 1062516036 2125032072