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22001113200 = 24352119717183
BaseRepresentation
bin10100011111010111…
…100101100001110000
32002210021222100111110
4110133113211201300
5330024241110300
614035052113320
71406131243113
oct243727454160
962707870443
1022001113200
119370066a90
124320165840
1320c81518a1
1410c9d9057a
1588b79d550
hex51f5e5870

22001113200 has 240 divisors, whose sum is σ = 77681028096. Its totient is φ = 5278310400.

The previous prime is 22001113187. The next prime is 22001113201. The reversal of 22001113200 is 231110022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001113201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271809 + ... + 1288991.

Almost surely, 222001113200 is an apocalyptic number.

22001113200 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 22001113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38840514048).

22001113200 is an abundant number, since it is smaller than the sum of its proper divisors (55679914896).

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

22001113200 is a wasteful number, since it uses less digits than its factorization.

22001113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17312 (or 17301 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22001113200 its reverse (231110022), we get a palindrome (22232223222).

The spelling of 22001113200 in words is "twenty-two billion, one million, one hundred thirteen thousand, two hundred".