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200161300 = 22525773469
BaseRepresentation
bin10111110111000…
…11100000010100
3111221122020200111
423323203200110
5402220130200
631510052404
74650225433
oct1373434024
9457566614
10200161300
11a2a93169
125704a104
1332612851
141c82511a
151288c0ba
hexbee3814

200161300 has 36 divisors (see below), whose sum is σ = 435228220. Its totient is φ = 79902720.

The previous prime is 200161289. The next prime is 200161301. The reversal of 200161300 is 3161002.

200161300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1971216 + 198190084 = 1404^2 + 14078^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200161301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55966 + ... + 59434.

Almost surely, 2200161300 is an apocalyptic number.

200161300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200161300 is an abundant number, since it is smaller than the sum of its proper divisors (235066920).

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

200161300 is a wasteful number, since it uses less digits than its factorization.

200161300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 200161300 is about 14147.8372905543. The cubic root of 200161300 is about 584.9607200840.

It can be divided in two parts, 20016 and 1300, that added together give a square (21316 = 1462).

The spelling of 200161300 in words is "two hundred million, one hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 577 1154 2308 2885 3469 5770 6938 11540 13876 14425 17345 28850 34690 57700 69380 86725 173450 346900 2001613 4003226 8006452 10008065 20016130 40032260 50040325 100080650 200161300