Search a number
-
+
231410322400 = 2552487593969
BaseRepresentation
bin1101011110000100100…
…0010100101111100000
3211010022101100101111111
43113201020110233200
512242412020304100
6254150342153104
722501364166655
oct3274110245740
9733271311444
10231410322400
118a160104334
1238a22a22794
1318a8b93826a
14b2b3967c2c
156045cd16ba
hex35e1214be0

231410322400 has 72 divisors (see below), whose sum is σ = 566091424080. Its totient is φ = 92373903360.

The previous prime is 231410322383. The next prime is 231410322401. The reversal of 231410322400 is 4223014132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231410322401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 92616 + ... + 686584.

It is an arithmetic number, because the mean of its divisors is an integer number (7862380890).

Almost surely, 2231410322400 is an apocalyptic number.

231410322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231410322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283045712040).

231410322400 is an abundant number, since it is smaller than the sum of its proper divisors (334681101680).

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

231410322400 is a wasteful number, since it uses less digits than its factorization.

231410322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594476 (or 594463 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 231410322400 its reverse (4223014132), we get a palindrome (235633336532).

The spelling of 231410322400 in words is "two hundred thirty-one billion, four hundred ten million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 487 800 974 1948 2435 3896 4870 7792 9740 12175 15584 19480 24350 38960 48700 77920 97400 194800 389600 593969 1187938 2375876 2969845 4751752 5939690 9503504 11879380 14849225 19007008 23758760 29698450 47517520 59396900 95035040 118793800 237587600 289262903 475175200 578525806 1157051612 1446314515 2314103224 2892629030 4628206448 5785258060 7231572575 9256412896 11570516120 14463145150 23141032240 28926290300 46282064480 57852580600 115705161200 231410322400