Search a number
-
+
2112178432 = 28713711277
BaseRepresentation
bin111110111100101…
…0100100100000000
312110012102210002211
41331321110210000
513311204202212
6545331151504
7103225135420
oct17571244400
95405383084
102112178432
119942a6a11
124ab445594
13278793130
1416073a480
15c56709a7
hex7de54900

2112178432 has 144 divisors (see below), whose sum is σ = 5266259712. Its totient is φ = 823173120.

The previous prime is 2112178429. The next prime is 2112178433. The reversal of 2112178432 is 2348712112.

It is a super-2 number, since 2×21121784322 = 8922595457211957248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112178394 and 2112178403.

It is not an unprimeable number, because it can be changed into a prime (2112178433) 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, 1653378 + ... + 1654654.

It is an arithmetic number, because the mean of its divisors is an integer number (36571248).

Almost surely, 22112178432 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 2112178432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633129856).

2112178432 is an abundant number, since it is smaller than the sum of its proper divisors (3154081280).

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

2112178432 is a wasteful number, since it uses less digits than its factorization.

2112178432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1370 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 2112178432 is about 45958.4424453223. The cubic root of 2112178432 is about 1283.0498627211.

The spelling of 2112178432 in words is "two billion, one hundred twelve million, one hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 91 104 112 128 142 182 208 224 256 284 364 416 448 497 568 728 832 896 923 994 1136 1277 1456 1664 1792 1846 1988 2272 2554 2912 3328 3692 3976 4544 5108 5824 6461 7384 7952 8939 9088 10216 11648 12922 14768 15904 16601 17878 18176 20432 23296 25844 29536 31808 33202 35756 40864 51688 59072 63616 66404 71512 81728 90667 103376 116207 118144 127232 132808 143024 163456 181334 206752 232414 236288 265616 286048 326912 362668 413504 464828 531232 572096 634669 725336 827008 929656 1062464 1144192 1178671 1269338 1450672 1654016 1859312 2124928 2288384 2357342 2538676 2901344 3718624 4249856 4714684 5077352 5802688 7437248 8250697 9429368 10154704 11605376 14874496 16501394 18858736 20309408 23210752 29748992 33002788 37717472 40618816 66005576 75434944 81237632 132011152 150869888 162475264 264022304 301739776 528044608 1056089216 2112178432