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22001100210 = 23253137673181
BaseRepresentation
bin10100011111010111…
…100010010110110010
32002210021221200200100
4110133113202112302
5330024240201320
614035051533230
71406131160205
oct243727422662
962707850610
1022001100210
119370058251
12432015a216
1320c81489bb
1410c9d8993c
1588b799790
hex51f5e25b2

22001100210 has 192 divisors, whose sum is σ = 61568492544. Its totient is φ = 5440089600.

The previous prime is 22001100193. The next prime is 22001100211. The reversal of 22001100210 is 1200110022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22001100192 and 22001100201.

It is not an unprimeable number, because it can be changed into a prime (22001100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6914820 + ... + 6918000.

It is an arithmetic number, because the mean of its divisors is an integer number (320669232).

Almost surely, 222001100210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30784246272).

22001100210 is an abundant number, since it is smaller than the sum of its proper divisors (39567392334).

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

22001100210 is a wasteful number, since it uses less digits than its factorization.

22001100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22001100210 its reverse (1200110022), we get a palindrome (23201210232).

The spelling of 22001100210 in words is "twenty-two billion, one million, one hundred thousand, two hundred ten".