Search a number
-
+
200931874 = 2112132173
BaseRepresentation
bin10111111100111…
…11101000100010
3112000002101201021
423332133220202
5402414304444
631534400054
74656615133
oct1376375042
9460071637
10200931874
11a346a100
125736002a
1332822500
141c985c8a
1512990584
hexbf9fa22

200931874 has 72 divisors (see below), whose sum is σ = 381148740. Its totient is φ = 79347840.

The previous prime is 200931853. The next prime is 200931881. The reversal of 200931874 is 478139002.

It can be written as a sum of positive squares in 6 ways, for example, as 37271025 + 163660849 = 6105^2 + 12793^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 11819514 + ... + 11819530.

Almost surely, 2200931874 is an apocalyptic number.

200931874 is a deficient number, since it is larger than the sum of its proper divisors (180216866).

200931874 is a wasteful number, since it uses less digits than its factorization.

200931874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 200931874 is about 14175.0440563689. The cubic root of 200931874 is about 585.7104126596.

Multiplying 200931874 by its sum of digits (34), we get a square (6831683716 = 826542).

200931874 divided by its sum of digits (34) gives a square (5909761 = 24312).

The spelling of 200931874 in words is "two hundred million, nine hundred thirty-one thousand, eight hundred seventy-four".

Divisors: 1 2 11 13 17 22 26 34 121 143 169 187 221 242 286 289 338 374 442 578 1573 1859 2057 2431 2873 3146 3179 3718 3757 4114 4862 4913 5746 6358 7514 9826 20449 26741 31603 34969 40898 41327 48841 53482 54043 63206 63869 69938 82654 97682 108086 127738 347633 454597 537251 594473 695266 702559 830297 909194 1074502 1188946 1405118 1660594 5909761 7728149 9133267 11819522 15456298 18266534 100465937 200931874