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312230223000 = 23325357160757
BaseRepresentation
bin1001000101100100101…
…11110001110010011000
31002211220212020201200100
410202302113301302120
520103421414114000
6355234145135400
731362233051223
oct4426227616230
91084825221610
10312230223000
11110463903913
125061932a560
132359b8a0057
141117d56c5ba
1581c6258a00
hex48b25f1c98

312230223000 has 192 divisors, whose sum is σ = 1057203781920. Its totient is φ = 83114208000.

The previous prime is 312230222963. The next prime is 312230223059. The reversal of 312230223000 is 322032213.

It is a happy number.

312230223000 is a `hidden beast` number, since 312 + 2 + 30 + 22 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5108622 + ... + 5169378.

Almost surely, 2312230223000 is an apocalyptic number.

312230223000 is a gapful number since it is divisible by the number (30) 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 312230223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528601890960).

312230223000 is an abundant number, since it is smaller than the sum of its proper divisors (744973558920).

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

312230223000 is a wasteful number, since it uses less digits than its factorization.

312230223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61355 (or 61338 counting only the distinct ones).

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

Adding to 312230223000 its reverse (322032213), we get a palindrome (312552255213).

The spelling of 312230223000 in words is "three hundred twelve billion, two hundred thirty million, two hundred twenty-three thousand".