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220221022001022 = 23371734270311547
BaseRepresentation
bin110010000100101000110011…
…110010011101011101111110
31001212201220221122222112211000
4302010220303302131131332
5212331100123113013042
62100212050232111130
764246305135343230
oct6204506362353576
91055656848875730
10220221022001022
1164195235851049
12208483868354a6
1395b59a3c0aa33
143c54a7bc82250
151a6d6c2be074c
hexc84a33c9d77e

220221022001022 has 64 divisors (see below), whose sum is σ = 592190983549440. Its totient is φ = 59219098351488.

The previous prime is 220221022000963. The next prime is 220221022001051. The reversal of 220221022001022 is 220100220122022.

220221022001022 is a `hidden beast` number, since 2 + 202 + 210 + 220 + 0 + 10 + 22 = 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 = 220221022000986 and 220221022001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17135149348 + ... + 17135162199.

It is an arithmetic number, because the mean of its divisors is an integer number (9252984117960).

Almost surely, 2220221022001022 is an apocalyptic number.

220221022001022 is an abundant number, since it is smaller than the sum of its proper divisors (371969961548418).

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

220221022001022 is a wasteful number, since it uses less digits than its factorization.

220221022001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34270311582 (or 34270311576 counting only the distinct ones).

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

Adding to 220221022001022 its reverse (220100220122022), we get a palindrome (440321242123044).

The spelling of 220221022001022 in words is "two hundred twenty trillion, two hundred twenty-one billion, twenty-two million, one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 34270311547 68540623094 102810934641 205621869282 239892180829 308432803923 479784361658 582595296299 616865607846 719676542487 925298411769 1165190592598 1439353084974 1747785888897 1850596823538 2159029627461 3495571777794 4078167074093 4318059254922 5243357666691 6477088882383 8156334148186 10486715333382 12234501222279 12954177764766 15730073000073 24469002444558 31460146000146 36703503666837 73407007333674 110110511000511 220221022001022