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234110200 = 235210910739
BaseRepresentation
bin11011111010000…
…11110011111000
3121022112000211011
431331003303320
5434413011300
635121443304
75541622012
oct1575036370
9538460734
10234110200
11110170505
12664a0534
133966b05c
14231411b2
1515845eba
hexdf43cf8

234110200 has 48 divisors (see below), whose sum is σ = 549351000. Its totient is φ = 92776320.

The previous prime is 234110183. The next prime is 234110207. The reversal of 234110200 is 2011432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234110207) 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, 16431 + ... + 27169.

Almost surely, 2234110200 is an apocalyptic number.

234110200 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 234110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274675500).

234110200 is an abundant number, since it is smaller than the sum of its proper divisors (315240800).

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

234110200 is a wasteful number, since it uses less digits than its factorization.

234110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10855 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 234110200 is about 15300.6601164786. The cubic root of 234110200 is about 616.3207344744.

Adding to 234110200 its reverse (2011432), we get a palindrome (236121632).

The spelling of 234110200 in words is "two hundred thirty-four million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10739 10900 21478 21800 42956 53695 85912 107390 214780 268475 429560 536950 1073900 1170551 2147800 2341102 4682204 5852755 9364408 11705510 23411020 29263775 46822040 58527550 117055100 234110200