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22102222032 = 2433112547773
BaseRepresentation
bin10100100101011001…
…010010010011010000
32010001100020012202000
4110211121102103100
5330231132101112
614053103154000
71411466534052
oct244531222320
963040205660
1022102222032
119412145600
124349ba5900
132113092cb7
1410d958d8d2
158955c17dc
hex5256524d0

22102222032 has 240 divisors, whose sum is σ = 69951147840. Its totient is φ = 6676750080.

The previous prime is 22102221991. The next prime is 22102222033. The reversal of 22102222032 is 23022220122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22102221996 and 22102222014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102222033) 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, 28592398 + ... + 28593170.

It is an arithmetic number, because the mean of its divisors is an integer number (291463116).

Almost surely, 222102222032 is an apocalyptic number.

22102222032 is a gapful number since it is divisible by the number (22) 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 22102222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34975573920).

22102222032 is an abundant number, since it is smaller than the sum of its proper divisors (47848925808).

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

22102222032 is a wasteful number, since it uses less digits than its factorization.

22102222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22102222032 its reverse (23022220122), we get a palindrome (45124442154).

The spelling of 22102222032 in words is "twenty-two billion, one hundred two million, two hundred twenty-two thousand, thirty-two".