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2132222222312 = 23713101173167623
BaseRepresentation
bin11111000001110010010…
…110010001111111101000
321112211122020021200111222
4133001302112101333220
5234413242342103222
64311310202041212
7310022311564460
oct37016226217750
97484566250458
102132222222312
117522a7948486
122a52a4aa9208
131260b594b340
14752b313cba0
153a6e5e9c542
hex1f072591fe8

2132222222312 has 128 divisors (see below), whose sum is σ = 4997984463360. Its totient is φ = 830332339200.

The previous prime is 2132222222311. The next prime is 2132222222369.

2132222222312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21322222223122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2132222222311) 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, 12636533 + ... + 12804155.

It is an arithmetic number, because the mean of its divisors is an integer number (39046753620).

Almost surely, 22132222222312 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 2132222222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498992231680).

2132222222312 is an abundant number, since it is smaller than the sum of its proper divisors (2865762241048).

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

2132222222312 is a wasteful number, since it uses less digits than its factorization.

2132222222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167923 (or 167919 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The spelling of 2132222222312 in words is "two trillion, one hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 173 182 202 346 364 404 692 707 728 808 1211 1313 1384 1414 2249 2422 2626 2828 4498 4844 5252 5656 8996 9191 9688 10504 15743 17473 17992 18382 31486 34946 36764 62972 69892 73528 122311 125944 139784 167623 227149 244622 335246 454298 489244 670492 908596 978488 1173361 1340984 1590043 1817192 2179099 2346722 3180086 4358198 4693444 6360172 8716396 9386888 12720344 15253693 16929923 17432792 28998779 30507386 33859846 57997558 61014772 67719692 115995116 118509461 122029544 135439384 202991453 220088999 231990232 237018922 376984127 405982906 440177998 474037844 753968254 811965812 880355996 948075688 1507936508 1540622993 1623931624 1760711992 2638888889 2928876679 3015873016 3081245986 5277777778 5857753358 6162491972 10555555556 11715506716 12324983944 20502136753 21111111112 23431013432 38075396827 41004273506 76150793654 82008547012 152301587308 164017094024 266527777789 304603174616 533055555578 1066111111156 2132222222312