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220001020122222 = 232731371314792957
BaseRepresentation
bin110010000001011011111010…
…101001111001010001101110
31001211221220002100122010211200
4302001123322221321101232
5212313444042122402342
62055523023504230330
764224356240255613
oct6201337251712156
91054856070563750
10220001020122222
116410a9aa4982a9
122081180860b3a6
13959b012a06a21
143c4816b54a50a
151a67ae877d94c
hexc816faa7946e

220001020122222 has 96 divisors (see below), whose sum is σ = 486767842790112. Its totient is φ = 71794919089152.

The previous prime is 220001020122131. The next prime is 220001020122269. The reversal of 220001020122222 is 222221020100022.

220001020122222 is a `hidden beast` number, since 220 + 0 + 0 + 1 + 0 + 201 + 22 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220001020122195 and 220001020122204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2366650168 + ... + 2366743124.

It is an arithmetic number, because the mean of its divisors is an integer number (5070498362397).

Almost surely, 2220001020122222 is an apocalyptic number.

220001020122222 is an abundant number, since it is smaller than the sum of its proper divisors (266766822667890).

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

220001020122222 is a wasteful number, since it uses less digits than its factorization.

220001020122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106322 (or 106319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220001020122222 its reverse (222221020100022), we get a palindrome (442222040222244).

The spelling of 220001020122222 in words is "two hundred twenty trillion, one billion, twenty million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 137 146 219 274 411 438 657 822 1233 1314 2466 10001 13147 20002 26294 30003 39441 60006 78882 90009 92957 118323 180018 185914 236646 278871 557742 836613 959731 1673226 1801139 1919462 2879193 3602278 5403417 5758386 6785861 8637579 10806834 12735109 13571722 16210251 17275158 20357583 25470218 32420502 38205327 40715166 61072749 76410654 114615981 122145498 131483147 229231962 262966294 394449441 788898882 929662957 1183348323 1222105679 1859325914 2366696646 2444211358 2788988871 3666317037 5577977742 7332634074 8366966613 10998951111 16733933226 21997902222 89213714567 167428478023 178427429134 267641143701 334856956046 502285434069 535282287402 802923431103 1004570868138 1506856302207 1605846862206 3013712604414 12222278895679 24444557791358 36666836687037 73333673374074 110000510061111 220001020122222