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220222012012434 = 232523105122257881
BaseRepresentation
bin110010000100101001101110…
…110011000011011110010010
31001212202000111122212100011100
4302010221232303003132102
5212331104140033344214
62100212332355325230
764246341516322665
oct6204515663033622
91055660448770140
10220222012012434
11641956a36722a3
12208486022b0816
1395b5b0105b5c3
143c54b3354d6dc
151a6d72ea9c309
hexc84a6ecc3792

220222012012434 has 48 divisors (see below), whose sum is σ = 478514904532704. Its totient is φ = 73197264168000.

The previous prime is 220222012012397. The next prime is 220222012012451. The reversal of 220222012012434 is 434210210222022.

220222012012434 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 20 + 1 + 201 + 2 + 434 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220222012012398 and 220222012012407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234827 + ... + 21023054.

It is an arithmetic number, because the mean of its divisors is an integer number (9969060511098).

Almost surely, 2220222012012434 is an apocalyptic number.

220222012012434 is an abundant number, since it is smaller than the sum of its proper divisors (258292892520270).

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

220222012012434 is a wasteful number, since it uses less digits than its factorization.

220222012012434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22259463 (or 22259460 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 220222012012434 its reverse (434210210222022), we get a palindrome (654432222234456).

The spelling of 220222012012434 in words is "two hundred twenty trillion, two hundred twenty-two billion, twelve million, twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 523 1046 1051 1569 2102 3138 3153 4707 6306 9414 9459 18918 549673 1099346 1649019 3298038 4947057 9894114 22257881 44515762 66773643 133547286 200320929 400641858 11640871763 23281743526 23393032931 34922615289 46786065862 69845230578 70179098793 104767845867 140358197586 209535691734 210537296379 421074592758 12234556222913 24469112445826 36703668668739 73407337337478 110111006006217 220222012012434