Search a number
-
+
22032023130 = 23251322384443
BaseRepresentation
bin10100100001001101…
…011111111001011010
32002212110010201221200
4110201031133321122
5330110144220010
614042114415030
71406655051405
oct244115377132
962773121850
1022032023130
119386559087
12432a591476
132101684aa0
1410d0118d3c
1588e356cc0
hex52135fe5a

22032023130 has 96 divisors (see below), whose sum is σ = 61967033856. Its totient is φ = 5398883712.

The previous prime is 22032023099. The next prime is 22032023131. The reversal of 22032023130 is 3132023022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22032023131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218689 + ... + 303131.

It is an arithmetic number, because the mean of its divisors is an integer number (645489936).

Almost surely, 222032023130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22032023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30983516928).

22032023130 is an abundant number, since it is smaller than the sum of its proper divisors (39935010726).

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

22032023130 is a wasteful number, since it uses less digits than its factorization.

22032023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84692 (or 84689 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22032023130 its reverse (3132023022), we get a palindrome (25164046152).

The spelling of 22032023130 in words is "twenty-two billion, thirty-two million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 223 234 390 446 585 669 1115 1170 1338 2007 2230 2899 3345 4014 5798 6690 8697 10035 14495 17394 20070 26091 28990 43485 52182 84443 86970 130455 168886 253329 260910 422215 506658 759987 844430 1097759 1266645 1519974 2195518 2533290 3293277 3799935 5488795 6586554 7599870 9879831 10977590 16466385 18830789 19759662 32932770 37661578 49399155 56492367 94153945 98798310 112984734 169477101 188307890 244800257 282461835 338954202 489600514 564923670 734400771 847385505 1224001285 1468801542 1694771010 2203202313 2448002570 3672003855 4406404626 7344007710 11016011565 22032023130