Search a number
-
+
232112423400000 = 2635511134757559
BaseRepresentation
bin110100110001101011100010…
…100010110111001001000000
31010102211201201212122010020020
4310301223202202313021000
5220410412220342300000
62141354550353213440
766614366142445503
oct6461534242671100
91112751655563206
10232112423400000
1167a5a36493a610
1222048b38b61280
139c6915254bb90
14414643083513a
151bc7b9ba87ba0
hexd31ae28b7240

232112423400000 has 1344 divisors, whose sum is σ = 921016171192320. Its totient is φ = 50835225600000.

The previous prime is 232112423399999. The next prime is 232112423400059. The reversal of 232112423400000 is 4324211232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4032571221 + ... + 4032628779.

It is an arithmetic number, because the mean of its divisors is an integer number (685279889280).

Almost surely, 2232112423400000 is an apocalyptic number.

232112423400000 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 232112423400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460508085596160).

232112423400000 is an abundant number, since it is smaller than the sum of its proper divisors (688903747792320).

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

232112423400000 is a wasteful number, since it uses less digits than its factorization.

232112423400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57670 (or 57640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232112423400000 its reverse (4324211232), we get a palindrome (232116747611232).

The spelling of 232112423400000 in words is "two hundred thirty-two trillion, one hundred twelve billion, four hundred twenty-three million, four hundred thousand".