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22213002012030 = 23255389241217111
BaseRepresentation
bin1010000110011110111100…
…00110000010010101111110
32220122112122022011200120100
411003033132012002111332
510402414212003341110
6115124302351301530
74451556616531404
oct503173606022576
986575568150510
1022213002012030
1170945325a9105
1225a904151a8a6
13c518a57919cb
1456b18791d474
15287c279d5bc0
hex1433de18257e

22213002012030 has 192 divisors, whose sum is σ = 59751845112960. Its totient is φ = 5722533273600.

The previous prime is 22213002012013. The next prime is 22213002012101. The reversal of 22213002012030 is 3021020031222.

22213002012030 is a `hidden beast` number, since 2 + 221 + 300 + 20 + 120 + 3 + 0 = 666.

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 = 22213002011994 and 22213002012012.

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, 102203175 + ... + 102420285.

It is an arithmetic number, because the mean of its divisors is an integer number (311207526630).

Almost surely, 222213002012030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22213002012030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29875922556480).

22213002012030 is an abundant number, since it is smaller than the sum of its proper divisors (37538843100930).

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

22213002012030 is a wasteful number, since it uses less digits than its factorization.

22213002012030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217507 (or 217504 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22213002012030 its reverse (3021020031222), we get a palindrome (25234022043252).

The spelling of 22213002012030 in words is "twenty-two trillion, two hundred thirteen billion, two million, twelve thousand, thirty".