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220001234213196 = 22342413425982241
BaseRepresentation
bin110010000001011100000111…
…011010100101100101001100
31001211221220122021111002110000
4302001130013122211211030
5212314000011424310241
62055523101033044300
764224364450101552
oct6201340732454514
91054856567432400
10220001234213196
116410aaaa324a97
1220811868256690
13959b048185987
143c4818bb59bd2
151a67b0c46ceb6
hexc817076a594c

220001234213196 has 120 divisors (see below), whose sum is σ = 577536980716080. Its totient is φ = 73026435686400.

The previous prime is 220001234213161. The next prime is 220001234213197. The reversal of 220001234213196 is 691312432100022.

220001234213196 is a `hidden beast` number, since 2 + 20 + 0 + 0 + 1 + 23 + 421 + 3 + 196 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220001234213196.

It is not an unprimeable number, because it can be changed into a prime (220001234213197) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2675038636 + ... + 2675120876.

It is an arithmetic number, because the mean of its divisors is an integer number (4812808172634).

Almost surely, 2220001234213196 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 220001234213196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288768490358040).

220001234213196 is an abundant number, since it is smaller than the sum of its proper divisors (357535746502884).

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

220001234213196 is a wasteful number, since it uses less digits than its factorization.

220001234213196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116757 (or 116746 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 220001234213196 in words is "two hundred twenty trillion, one billion, two hundred thirty-four million, two hundred thirteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 324 482 723 964 1446 2169 2892 4338 6507 8676 13014 19521 26028 34259 39042 68518 78084 82241 102777 137036 164482 205554 246723 308331 328964 411108 493446 616662 740169 924993 986892 1233324 1480338 1849986 2220507 2774979 2960676 3699972 4441014 5549958 6661521 8256419 8882028 11099916 13323042 16512838 19820081 24769257 26646084 33025676 39640162 49538514 59460243 74307771 79280324 99077028 118920486 148615542 178380729 222923313 237840972 297231084 356761458 445846626 535142187 668769939 713522916 891693252 1070284374 1337539878 1605426561 2140568748 2675079756 2817494419 3210853122 5634988838 6421706244 8452483257 11269977676 16904966514 25357449771 33809933028 50714899542 76072349313 101429799084 152144698626 228217047939 304289397252 456434095878 679016154979 912868191756 1358032309958 2037048464937 2716064619916 4074096929874 6111145394811 8148193859748 12222290789622 18333436184433 24444581579244 36666872368866 55000308553299 73333744737732 110000617106598 220001234213196