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200123352 = 2333112131931
BaseRepresentation
bin10111110110110…
…10001111011000
3111221120022122000
423323122033120
5402212421402
631505201000
74650010002
oct1373321730
9457508560
10200123352
11a2a67700
1257030160
13325cb4b0
141c815372
1512880c1c
hexbeda3d8

200123352 has 384 divisors, whose sum is σ = 715008000. Its totient is φ = 51321600.

The previous prime is 200123317. The next prime is 200123377. The reversal of 200123352 is 253321002.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6455577 + ... + 6455607.

It is an arithmetic number, because the mean of its divisors is an integer number (1862000).

Almost surely, 2200123352 is an apocalyptic number.

200123352 is a gapful number since it is divisible by the number (22) 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 200123352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504000).

200123352 is an abundant number, since it is smaller than the sum of its proper divisors (514884648).

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

200123352 is a wasteful number, since it uses less digits than its factorization.

200123352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 200123352 is about 14146.4961032759. The cubic root of 200123352 is about 584.9237507458.

Adding to 200123352 its reverse (253321002), we get a palindrome (453444354).

The spelling of 200123352 in words is "two hundred million, one hundred twenty-three thousand, three hundred fifty-two".