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23200022222300 = 2252711137197911113
BaseRepresentation
bin1010100011001101011010…
…00101010101010111011100
310001010220022102211110212102
411101212231011111113130
511020102121142103200
6121201535412024232
74613101115066030
oct521465505252734
9101126272743772
1023200022222300
11743508a7a2950
1227283a0602078
13cc39a29138a1
145a2c5c17c1c0
152a374498d6d5
hex1519ad1555dc

23200022222300 has 288 divisors, whose sum is σ = 63262395947520. Its totient is φ = 7174120550400.

The previous prime is 23200022222269. The next prime is 23200022222329. The reversal of 23200022222300 is 322222000232.

It is a super-2 number, since 2×232000222223002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2087641544 + ... + 2087652656.

It is an arithmetic number, because the mean of its divisors is an integer number (219661097040).

Almost surely, 223200022222300 is an apocalyptic number.

23200022222300 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 23200022222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31631197973760).

23200022222300 is an abundant number, since it is smaller than the sum of its proper divisors (40062373725220).

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

23200022222300 is a wasteful number, since it uses less digits than its factorization.

23200022222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23200022222300 its reverse (322222000232), we get a palindrome (23522244222532).

The spelling of 23200022222300 in words is "twenty-three trillion, two hundred billion, twenty-two million, two hundred twenty-two thousand, three hundred".