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222122320020 = 223251234012889
BaseRepresentation
bin1100111011011110000…
…1011010000010010100
3210020100002022222111100
43032313201122002110
512114401303220040
6250012552110100
722022253365556
oct3166741320224
9706302288440
10222122320020
1186224293707
1237070395330
1317c3b5cb073
14aa721c34d6
155ba06b5b30
hex33b785a094

222122320020 has 36 divisors (see below), whose sum is σ = 673771037940. Its totient is φ = 59232618624.

The previous prime is 222122320003. The next prime is 222122320033. The reversal of 222122320020 is 20023221222.

222122320020 is a `hidden beast` number, since 2 + 221 + 223 + 200 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58417923204 + 163704396816 = 241698^2 + 404604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 222122319975 and 222122320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617006265 + ... + 617006624.

It is an arithmetic number, because the mean of its divisors is an integer number (18715862165).

Almost surely, 2222122320020 is an apocalyptic number.

222122320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122320020 is an abundant number, since it is smaller than the sum of its proper divisors (451648717920).

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

222122320020 is a wasteful number, since it uses less digits than its factorization.

222122320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234012904 (or 1234012899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 222122320020 its reverse (20023221222), we get a palindrome (242145541242).

The spelling of 222122320020 in words is "two hundred twenty-two billion, one hundred twenty-two million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1234012889 2468025778 3702038667 4936051556 6170064445 7404077334 11106116001 12340128890 14808154668 18510193335 22212232002 24680257780 37020386670 44424464004 55530580005 74040773340 111061160010 222122320020