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2124636234 = 237177141911
BaseRepresentation
bin111111010100011…
…0110000001001010
312111001212200222220
41332220312001022
513322401324414
6550454154510
7103436052510
oct17650660112
95431780886
102124636234
119a0335716
124b3652a36
1327b235606
141622604b0
15c67d1ca9
hex7ea3604a

2124636234 has 64 divisors (see below), whose sum is σ = 5214523392. Its totient is φ = 563270400.

The previous prime is 2124636233. The next prime is 2124636253. The reversal of 2124636234 is 4326364212.

It is a junction number, because it is equal to n+sod(n) for n = 2124636195 and 2124636204.

It is not an unprimeable number, because it can be changed into a prime (2124636233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29739 + ... + 71649.

It is an arithmetic number, because the mean of its divisors is an integer number (81476928).

Almost surely, 22124636234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124636234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607261696).

2124636234 is an abundant number, since it is smaller than the sum of its proper divisors (3089887158).

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

2124636234 is a wasteful number, since it uses less digits than its factorization.

2124636234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42011.

The product of its digits is 41472, while the sum is 33.

The square root of 2124636234 is about 46093.7765213483. The cubic root of 2124636234 is about 1285.5674307647.

The spelling of 2124636234 in words is "two billion, one hundred twenty-four million, six hundred thirty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 71 102 119 142 213 238 357 426 497 714 994 1207 1491 2414 2982 3621 7242 8449 16898 25347 41911 50694 83822 125733 251466 293377 586754 712487 880131 1424974 1760262 2137461 2975681 4274922 4987409 5951362 8927043 9974818 14962227 17854086 20829767 29924454 41659534 50586577 62489301 101173154 124978602 151759731 303519462 354106039 708212078 1062318117 2124636234