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2122036540 = 2251326331033
BaseRepresentation
bin111111001111011…
…1011010100111100
312110212222121212221
41332132323110330
513321220132130
6550322335124
7103405004311
oct17636732474
95425877787
102122036540
1199991a508
124b27ba4a4
1327a835230
14161b84d08
15c646b87a
hex7e7bb53c

2122036540 has 48 divisors (see below), whose sum is σ = 4817469888. Its totient is φ = 780516864.

The previous prime is 2122036531. The next prime is 2122036559. The reversal of 2122036540 is 456302212.

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, 52864 + ... + 83896.

It is an arithmetic number, because the mean of its divisors is an integer number (100363956).

Almost surely, 22122036540 is an apocalyptic number.

2122036540 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 2122036540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408734944).

2122036540 is an abundant number, since it is smaller than the sum of its proper divisors (2695433348).

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

2122036540 is a wasteful number, since it uses less digits than its factorization.

2122036540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31318 (or 31316 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2122036540 is about 46065.5678354235. The cubic root of 2122036540 is about 1285.0428788550.

Adding to 2122036540 its reverse (456302212), we get a palindrome (2578338752).

The spelling of 2122036540 in words is "two billion, one hundred twenty-two million, thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 263 526 1052 1315 2630 3419 5260 6838 13676 17095 31033 34190 62066 68380 124132 155165 310330 403429 620660 806858 1613716 2017145 4034290 8068580 8161679 16323358 32646716 40808395 81616790 106101827 163233580 212203654 424407308 530509135 1061018270 2122036540