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2123559088 = 247236911193
BaseRepresentation
bin111111010010010…
…1111000010110000
312110222211222102121
41332210233002300
513322112342323
6550415124024
7103423645240
oct17644570260
95428758377
102123559088
1199a76a412
124b3213614
1327ac49251
1416205db20
15c666ca5d
hex7e92f0b0

2123559088 has 80 divisors (see below), whose sum is σ = 4917828096. Its totient is φ = 868538880.

The previous prime is 2123559079. The next prime is 2123559089. The reversal of 2123559088 is 8809553212.

It is not an unprimeable number, because it can be changed into a prime (2123559089) 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, 1779420 + ... + 1780612.

Almost surely, 22123559088 is an apocalyptic number.

2123559088 is a gapful number since it is divisible by the number (28) 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 2123559088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458914048).

2123559088 is an abundant number, since it is smaller than the sum of its proper divisors (2794269008).

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

2123559088 is a wasteful number, since it uses less digits than its factorization.

2123559088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 2123559088 is about 46082.0907511801. The cubic root of 2123559088 is about 1285.3501421341.

The spelling of 2123559088 in words is "two billion, one hundred twenty-three million, five hundred fifty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 691 1193 1288 1382 2386 2576 2764 4772 4837 5528 8351 9544 9674 11056 15893 16702 19088 19348 27439 31786 33404 38696 54878 63572 66808 77392 109756 111251 127144 133616 192073 219512 222502 254288 384146 439024 445004 768292 824363 890008 1536584 1648726 1780016 3073168 3297452 5770541 6594904 11541082 13189808 18960349 23082164 37920698 46164328 75841396 92328656 132722443 151682792 265444886 303365584 530889772 1061779544 2123559088