Search a number
-
+
2212022231232 = 263117913257709
BaseRepresentation
bin100000001100000110110…
…011001010000011000000
321211110121122002011022220
4200030012303022003000
5242220210142344412
64412104453131040
7315545654506632
oct40140663120300
97743548064286
102212022231232
11783127978280
122b8855929a80
131307924ccc28
14790c34d8a52
153c816b1468c
hex20306cca0c0

2212022231232 has 112 divisors (see below), whose sum is σ = 6465520012800. Its totient is φ = 661824783360.

The previous prime is 2212022231179. The next prime is 2212022231233. The reversal of 2212022231232 is 2321322202122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2212022231233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6462007 + ... + 6795702.

Almost surely, 22212022231232 is an apocalyptic number.

2212022231232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2212022231232 is an abundant number, since it is smaller than the sum of its proper divisors (4253497781568).

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

2212022231232 is a wasteful number, since it uses less digits than its factorization.

2212022231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13257814 (or 13257804 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2212022231232 its reverse (2321322202122), we get a palindrome (4533344433354).

The spelling of 2212022231232 in words is "two trillion, two hundred twelve billion, twenty-two million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 132 158 176 192 237 264 316 352 474 528 632 704 869 948 1056 1264 1738 1896 2112 2528 2607 3476 3792 5056 5214 6952 7584 10428 13904 15168 20856 27808 41712 55616 83424 166848 13257709 26515418 39773127 53030836 79546254 106061672 145834799 159092508 212123344 291669598 318185016 424246688 437504397 583339196 636370032 848493376 875008794 1047359011 1166678392 1272740064 1750017588 2094718022 2333356784 2545480128 3142077033 3500035176 4189436044 4666713568 6284154066 7000070352 8378872088 9333427136 11520949121 12568308132 14000140704 16757744176 23041898242 25136616264 28000281408 33515488352 34562847363 46083796484 50273232528 67030976704 69125694726 92167592968 100546465056 138251389452 184335185936 201092930112 276502778904 368670371872 553005557808 737340743744 1106011115616 2212022231232