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223222224001 = 7232921648601
BaseRepresentation
bin1100111111100100010…
…1001101010010000001
3210100011201222220002211
43033321011031102001
512124124342132001
6250314042542121
722061440411660
oct3177105152201
9710151886084
10223222224001
1186739142867
1237318807941
131808544711a
14ab382d8dd7
155c1702d351
hex33f914d481

223222224001 has 24 divisors (see below), whose sum is σ = 275699009664. Its totient is φ = 176703542400.

The previous prime is 223222223971. The next prime is 223222224031. The reversal of 223222224001 is 100422222322.

It is an interprime number because it is at equal distance from previous prime (223222223971) and next prime (223222224031).

It is not a de Polignac number, because 223222224001 - 215 = 223222191233 is a prime.

It is a super-3 number, since 3×2232222240013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223222224031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688900 + ... + 959701.

It is an arithmetic number, because the mean of its divisors is an integer number (11487458736).

Almost surely, 2223222224001 is an apocalyptic number.

It is an amenable number.

223222224001 is a deficient number, since it is larger than the sum of its proper divisors (52476785663).

223222224001 is a wasteful number, since it uses less digits than its factorization.

223222224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648689 (or 1648660 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 223222224001 its reverse (100422222322), we get a palindrome (323644446323).

The spelling of 223222224001 in words is "two hundred twenty-three billion, two hundred twenty-two million, two hundred twenty-four thousand, one".

Divisors: 1 7 23 29 161 203 667 841 4669 5887 19343 135401 1648601 11540207 37917823 47809429 265424761 334666003 1099616867 1386473441 7697318069 9705314087 31888889143 223222224001