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200312303200 = 2552192931107137
BaseRepresentation
bin1011101010001110001…
…0110010111001100000
3201011001002221022221121
42322203202302321200
511240214422200300
6232004443502024
720320632324652
oct2724342627140
9634032838847
10200312303200
1177a52089219
12329a4227914
1315b73c36c79
1499a37786d2
155325ab381a
hex2ea38b2e60

200312303200 has 576 divisors, whose sum is σ = 558864230400. Its totient is φ = 69750374400.

The previous prime is 200312303153. The next prime is 200312303249. The reversal of 200312303200 is 2303213002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1462133532 + ... + 1462133668.

It is an arithmetic number, because the mean of its divisors is an integer number (970250400).

Almost surely, 2200312303200 is an apocalyptic number.

200312303200 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 200312303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279432115200).

200312303200 is an abundant number, since it is smaller than the sum of its proper divisors (358551927200).

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

200312303200 is a wasteful number, since it uses less digits than its factorization.

200312303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 200312303200 its reverse (2303213002), we get a palindrome (202615516202).

The spelling of 200312303200 in words is "two hundred billion, three hundred twelve million, three hundred three thousand, two hundred".