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22123132144 = 24193114591609
BaseRepresentation
bin10100100110101001…
…000011010011110000
32010002210120120000121
4110212221003103300
5330302010212034
614055131300024
71412142343351
oct244651032360
963083516017
1022123132144
119422a27693
124354baa614
132117504749
1410dc273d28
158973521b4
hex526a434f0

22123132144 has 80 divisors (see below), whose sum is σ = 46635904000. Its totient is φ = 10128084480.

The previous prime is 22123132091. The next prime is 22123132151. The reversal of 22123132144 is 44123132122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13748812 + ... + 13750420.

It is an arithmetic number, because the mean of its divisors is an integer number (582948800).

Almost surely, 222123132144 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 22123132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23317952000).

22123132144 is an abundant number, since it is smaller than the sum of its proper divisors (24512771856).

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

22123132144 is a wasteful number, since it uses less digits than its factorization.

22123132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3120 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

Adding to 22123132144 its reverse (44123132122), we get a palindrome (66246264266).

The spelling of 22123132144 in words is "twenty-two billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 1459 1609 2356 2918 3218 4712 5836 6436 9424 11672 12872 23344 25744 27721 30571 45229 49879 55442 61142 90458 99758 110884 122284 180916 199516 221768 244568 361832 399032 443536 489136 723664 798064 859351 947701 1718702 1895402 2347531 3437404 3790804 4695062 6874808 7581608 9390124 13749616 15163216 18780248 37560496 44603089 72773461 89206178 145546922 178412356 291093844 356824712 582187688 713649424 1164375376 1382695759 2765391518 5530783036 11061566072 22123132144