Search a number
-
+
200036144 = 24711179551
BaseRepresentation
bin10111110110001…
…00111100110000
3111221101220000002
423323010330300
5402202124034
631503245132
74646164520
oct1373047460
9457356002
10200036144
11a2a08130
1256ba97a8
133259a8a9
141c7d1680
1512864e7e
hexbec4f30

200036144 has 80 divisors (see below), whose sum is σ = 511681536. Its totient is φ = 73344000.

The previous prime is 200036143. The next prime is 200036147. The reversal of 200036144 is 441630002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200036143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16169 + ... + 25719.

Almost surely, 2200036144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200036144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255840768).

200036144 is an abundant number, since it is smaller than the sum of its proper divisors (311645392).

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

200036144 is a wasteful number, since it uses less digits than its factorization.

200036144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594 (or 9588 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 200036144 is about 14143.4134493764. The cubic root of 200036144 is about 584.8387740863.

Adding to 200036144 its reverse (441630002), we get a palindrome (641666146).

The spelling of 200036144 in words is "two hundred million, thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 9551 10472 19102 20944 38204 66857 76408 105061 133714 152816 162367 210122 267428 324734 420244 534856 649468 735427 840488 1069712 1136569 1298936 1470854 1680976 1786037 2273138 2597872 2941708 3572074 4546276 5883416 7144148 9092552 11766832 12502259 14288296 18185104 25004518 28576592 50009036 100018072 200036144