Search a number
-
+
21232123192 = 2371960133203
BaseRepresentation
bin10011110001100010…
…000111110100111000
32000210200222121112001
4103301202013310320
5321440410420232
613430502030344
71351103032540
oct236142076470
960720877461
1021232123192
119005a86455
1241467183b4
132004a38607
141055bb8320
15843eee6e7
hex4f1887d38

21232123192 has 64 divisors (see below), whose sum is σ = 47973139200. Its totient is φ = 8605958400.

The previous prime is 21232123163. The next prime is 21232123207. The reversal of 21232123192 is 29132123212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 21232123192.

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 15 ways as a sum of consecutive naturals, for example, 622863 + ... + 656065.

It is an arithmetic number, because the mean of its divisors is an integer number (749580300).

Almost surely, 221232123192 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 21232123192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986569600).

21232123192 is an abundant number, since it is smaller than the sum of its proper divisors (26741016008).

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

21232123192 is a wasteful number, since it uses less digits than its factorization.

21232123192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33836 (or 33832 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The spelling of 21232123192 in words is "twenty-one billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 601 1064 1202 2404 4207 4808 8414 11419 16828 22838 33203 33656 45676 66406 79933 91352 132812 159866 232421 265624 319732 464842 630857 639464 929684 1261714 1859368 2523428 4415999 5046856 8831998 17663996 19955003 35327992 39910006 79820012 139685021 159640024 279370042 379145057 558740084 758290114 1117480168 1516580228 2654015399 3033160456 5308030798 10616061596 21232123192