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23223121200 = 243552238921
BaseRepresentation
bin10101101000001101…
…001011010100110000
32012221110101210100000
4111220031023110300
5340030104334300
614400224030000
71451330162466
oct255015132460
965843353300
1023223121200
119937934754
124601462300
132261380446
1411a43ac836
1590dbd4c00
hex56834b530

23223121200 has 180 divisors, whose sum is σ = 83575871288. Its totient is φ = 6192806400.

The previous prime is 23223121199. The next prime is 23223121213. The reversal of 23223121200 is 212132232.

23223121200 is a `hidden beast` number, since 232 + 2 + 312 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22261 + ... + 216660.

Almost surely, 223223121200 is an apocalyptic number.

23223121200 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 23223121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41787935644).

23223121200 is an abundant number, since it is smaller than the sum of its proper divisors (60352750088).

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

23223121200 is a wasteful number, since it uses less digits than its factorization.

23223121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238954 (or 238931 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23223121200 its reverse (212132232), we get a palindrome (23435253432).

The spelling of 23223121200 in words is "twenty-three billion, two hundred twenty-three million, one hundred twenty-one thousand, two hundred".