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234020200 = 23523733137
BaseRepresentation
bin11011111001011…
…01110101101000
3121022100110100211
431330231311220
5434402121300
635115510504
75541065431
oct1574556550
9538313324
10234020200
11110109927
1266458434
13396390bb
142311a488
15158294ba
hexdf2dd68

234020200 has 48 divisors (see below), whose sum is σ = 545729580. Its totient is φ = 93327360.

The previous prime is 234020179. The next prime is 234020231. The reversal of 234020200 is 2020432.

It can be written as a sum of positive squares in 6 ways, for example, as 174081636 + 59938564 = 13194^2 + 7742^2 .

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 11 ways as a sum of consecutive naturals, for example, 73032 + ... + 76168.

Almost surely, 2234020200 is an apocalyptic number.

234020200 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 234020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272864790).

234020200 is an abundant number, since it is smaller than the sum of its proper divisors (311709380).

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

234020200 is a wasteful number, since it uses less digits than its factorization.

234020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 234020200 is about 15297.7187841848. The cubic root of 234020200 is about 616.2417460668.

Adding to 234020200 its reverse (2020432), we get a palindrome (236040632).

The spelling of 234020200 in words is "two hundred thirty-four million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1492 1865 2984 3137 3730 6274 7460 9325 12548 14920 15685 18650 25096 31370 37300 62740 74600 78425 125480 156850 313700 627400 1170101 2340202 4680404 5850505 9360808 11701010 23402020 29252525 46804040 58505050 117010100 234020200