Search a number
-
+
32030224350 = 23522367138569
BaseRepresentation
bin11101110101001001…
…100110111111011110
310001200020111222121120
4131311021212333132
51011044214134400
622414154511410
72212511262165
oct356511467736
9101606458546
1032030224350
11126472546a3
12625aa35566
133035b92597
14179bd303dc
15c76eabca0
hex775266fde

32030224350 has 96 divisors (see below), whose sum is σ = 84126401280. Its totient is φ = 8048029440.

The previous prime is 32030224309. The next prime is 32030224351. The reversal of 32030224350 is 5342203023.

It is a super-2 number, since 2×320302243502 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32030224350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32030224351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161866 + ... + 300434.

It is an arithmetic number, because the mean of its divisors is an integer number (876316680).

Almost surely, 232030224350 is an apocalyptic number.

32030224350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32030224350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42063200640).

32030224350 is an abundant number, since it is smaller than the sum of its proper divisors (52096176930).

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

32030224350 is a wasteful number, since it uses less digits than its factorization.

32030224350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138674 (or 138669 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 32030224350 its reverse (5342203023), we get a palindrome (37372427373).

The spelling of 32030224350 in words is "thirty-two billion, thirty million, two hundred twenty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 67 69 75 115 134 138 150 201 230 335 345 402 575 670 690 1005 1150 1541 1675 1725 2010 3082 3350 3450 4623 5025 7705 9246 10050 15410 23115 38525 46230 77050 115575 138569 231150 277138 415707 692845 831414 1385690 2078535 3187087 3464225 4157070 6374174 6928450 9284123 9561261 10392675 15935435 18568246 19122522 20785350 27852369 31870870 46420615 47806305 55704738 79677175 92841230 95612610 139261845 159354350 213534829 232103075 239031525 278523690 427069658 464206150 478063050 640604487 696309225 1067674145 1281208974 1392618450 2135348290 3203022435 5338370725 6406044870 10676741450 16015112175 32030224350