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22230110013000 = 2335331618944029
BaseRepresentation
bin1010000110111110110011…
…10011111000011001001000
32220201011210120220011221220
411003133121303320121020
510403204231130404000
6115140212131202040
74453033564250301
oct503373163703110
986634716804856
1022230110013000
1170a081162348a
1225b0416a46320
13c533a0c6a5c6
1456bd2bab37a8
152883c98e31a0
hex1437d9cf8648

22230110013000 has 512 divisors, whose sum is σ = 73588290048000. Its totient is φ = 5579228160000.

The previous prime is 22230110012963. The next prime is 22230110013017. The reversal of 22230110013000 is 31001103222.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 504874986 + ... + 504919014.

It is an arithmetic number, because the mean of its divisors is an integer number (143727129000).

Almost surely, 222230110013000 is an apocalyptic number.

22230110013000 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 22230110013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36794145024000).

22230110013000 is an abundant number, since it is smaller than the sum of its proper divisors (51358180035000).

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

22230110013000 is a wasteful number, since it uses less digits than its factorization.

22230110013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44234 (or 44220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22230110013000 its reverse (31001103222), we get a palindrome (22261111116222).

The spelling of 22230110013000 in words is "twenty-two trillion, two hundred thirty billion, one hundred ten million, thirteen thousand".