Search a number
-
+
23200524340 = 2257741722343
BaseRepresentation
bin10101100110110110…
…111110100000110100
32012212212212202021021
4111212312332200310
5340003313234330
614354055430524
71450634126440
oct254666764064
965785782237
1023200524340
119926100364
1245b5985444
13225979b016
1411a13a9820
1590bc1e67a
hex566dbe834

23200524340 has 48 divisors (see below), whose sum is σ = 55691258112. Its totient is φ = 7953037056.

The previous prime is 23200524329. The next prime is 23200524343. The reversal of 23200524340 is 4342500232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200524343) 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 15 ways as a sum of consecutive naturals, for example, 1027209 + ... + 1049551.

It is an arithmetic number, because the mean of its divisors is an integer number (1160234544).

Almost surely, 223200524340 is an apocalyptic number.

23200524340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23200524340 is an abundant number, since it is smaller than the sum of its proper divisors (32490733772).

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

23200524340 is a wasteful number, since it uses less digits than its factorization.

23200524340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29776 (or 29774 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The spelling of 23200524340 in words is "twenty-three billion, two hundred million, five hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 7417 14834 22343 29668 37085 44686 51919 74170 89372 103838 111715 148340 156401 207676 223430 259595 312802 446860 519190 625604 782005 1038380 1564010 3128020 165718031 331436062 662872124 828590155 1160026217 1657180310 2320052434 3314360620 4640104868 5800131085 11600262170 23200524340