Search a number
-
+
22000738307196 = 223112931191970667
BaseRepresentation
bin1010000000010011100100…
…01100010000110001111100
32212220020202021120020200210
411000021302030100301330
510340430003001312241
6114442555531352420
74430333543026035
oct500116214206174
985806667506623
1022000738307196
117012508241a60
122573a828b2710
13c378787aa66c
14560bacbb7a8c
15282452aa1316
hex140272310c7c

22000738307196 has 192 divisors, whose sum is σ = 60114944655360. Its totient is φ = 6196731744000.

The previous prime is 22000738307179. The next prime is 22000738307267. The reversal of 22000738307196 is 69170383700022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22180255 + ... + 23150921.

It is an arithmetic number, because the mean of its divisors is an integer number (313098670080).

Almost surely, 222000738307196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000738307196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30057472327680).

22000738307196 is an abundant number, since it is smaller than the sum of its proper divisors (38114206348164).

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

22000738307196 is a wasteful number, since it uses less digits than its factorization.

22000738307196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970936 (or 970934 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 22000738307196 in words is "twenty-two trillion, seven hundred thirty-eight million, three hundred seven thousand, one hundred ninety-six".