Search a number
-
+
22322130200 = 23522341711667
BaseRepresentation
bin10100110010100000…
…001010110100011000
32010121200000201000222
4110302200022310120
5331203431131300
614131000415212
71420106655536
oct246240126430
963550021028
1022322130200
119515295897
1243ab777508
1321497ca986
14111a875156
158a9a5e785
hex53280ad18

22322130200 has 192 divisors, whose sum is σ = 56291397120. Its totient is φ = 8210048000.

The previous prime is 22322130199. The next prime is 22322130239. The reversal of 22322130200 is 203122322.

It is a super-3 number, since 3×223221302003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13389767 + ... + 13391433.

It is an arithmetic number, because the mean of its divisors is an integer number (293184360).

Almost surely, 222322130200 is an apocalyptic number.

22322130200 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 22322130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28145698560).

22322130200 is an abundant number, since it is smaller than the sum of its proper divisors (33969266920).

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

22322130200 is a wasteful number, since it uses less digits than its factorization.

22322130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 22322130200 its reverse (203122322), we get a palindrome (22525252522).

The spelling of 22322130200 in words is "twenty-two billion, three hundred twenty-two million, one hundred thirty thousand, two hundred".