Search a number
-
+
200474000 = 2453100237
BaseRepresentation
bin10111111001011…
…11110110010000
3111222020010121222
423330233312100
5402310132000
631520504212
74653000206
oct1374576620
9458203558
10200474000
11a31870a1
125717b068
13326c1c8c
141c8a7076
15128eea85
hexbf2fd90

200474000 has 40 divisors (see below), whose sum is σ = 484750968. Its totient is φ = 80188800.

The previous prime is 200473937. The next prime is 200474009. The reversal of 200474000 is 474002.

It can be written as a sum of positive squares in 4 ways, for example, as 39488656 + 160985344 = 6284^2 + 12688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 200474000.

It is not an unprimeable number, because it can be changed into a prime (200474009) 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 7 ways as a sum of consecutive naturals, for example, 48119 + ... + 52118.

Almost surely, 2200474000 is an apocalyptic number.

200474000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200474000 is an abundant number, since it is smaller than the sum of its proper divisors (284276968).

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

200474000 is a wasteful number, since it uses less digits than its factorization.

200474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100260 (or 100244 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 200474000 is about 14158.8841368238. The cubic root of 200474000 is about 585.2651779491.

The spelling of 200474000 in words is "two hundred million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 100237 200474 400948 501185 801896 1002370 1603792 2004740 2505925 4009480 5011850 8018960 10023700 12529625 20047400 25059250 40094800 50118500 100237000 200474000