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222221220120200 = 235272989101608903
BaseRepresentation
bin110010100001101111101000…
…111000110000011010001000
31002010211010210220121220012102
4302201233220320300122020
5213111333024322321300
62104343004051332532
764543644665003240
oct6241575070603210
91063733726556172
10222221220120200
116489654350a794
1220b0bb64bb1148
1396cc4a951b292
143cc37c8b84b20
151aa573d2a50d5
hexca1be8e30688

222221220120200 has 384 divisors, whose sum is σ = 623814841152000. Its totient is φ = 72016057344000.

The previous prime is 222221220120199. The next prime is 222221220120239. The reversal of 222221220120200 is 2021022122222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364648949 + ... + 365257851.

It is an arithmetic number, because the mean of its divisors is an integer number (1624517815500).

Almost surely, 2222221220120200 is an apocalyptic number.

222221220120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222221220120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311907420576000).

222221220120200 is an abundant number, since it is smaller than the sum of its proper divisors (401593621031800).

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

222221220120200 is a wasteful number, since it uses less digits than its factorization.

222221220120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609145 (or 609136 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222221220120200 its reverse (2021022122222), we get a palindrome (224242242242422).

The spelling of 222221220120200 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty thousand, two hundred".