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2122140224 = 26613371613
BaseRepresentation
bin111111001111101…
…0100101001000000
312110220011220010002
41332133110221000
513321231441344
6550324455132
7103405615511
oct17637245100
95426156102
102122140224
119999903a6
124b284a4a8
1327a870499
14161bb0a08
15c648c44e
hex7e7d4a40

2122140224 has 56 divisors (see below), whose sum is σ = 4295518968. Its totient is φ = 1039933440.

The previous prime is 2122140211. The next prime is 2122140233. The reversal of 2122140224 is 4220412212.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 2119681600 = 1568^2 + 46040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2122140196 and 2122140205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314842 + ... + 1316454.

Almost surely, 22122140224 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 2122140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147759484).

2122140224 is an abundant number, since it is smaller than the sum of its proper divisors (2173378744).

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

2122140224 is a wasteful number, since it uses less digits than its factorization.

2122140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2122140224 is about 46066.6932175514. The cubic root of 2122140224 is about 1285.0638078405.

Adding to 2122140224 its reverse (4220412212), we get a palindrome (6342552436).

The spelling of 2122140224 in words is "two billion, one hundred twenty-two million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 337 488 674 976 1348 1613 1952 2696 3226 3904 5392 6452 10784 12904 20557 21568 25808 41114 51616 82228 98393 103232 164456 196786 328912 393572 543581 657824 787144 1087162 1315648 1574288 2174324 3148576 4348648 6297152 8697296 17394592 33158441 34789184 66316882 132633764 265267528 530535056 1061070112 2122140224