Search a number
-
+
209774312 = 23112375857
BaseRepresentation
bin11001000000011…
…10011011101000
3112121201122020222
430200032123220
5412200234222
632452105212
75125023626
oct1440163350
9477648228
10209774312
11a8459600
125a305208
13345ca217
141dc08516
151363a542
hexc80e6e8

209774312 has 48 divisors (see below), whose sum is σ = 444094980. Its totient is φ = 92759040.

The previous prime is 209774293. The next prime is 209774321. The reversal of 209774312 is 213477902.

It can be written as a sum of positive squares in 2 ways, for example, as 161137636 + 48636676 = 12694^2 + 6974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32888 + ... + 38744.

Almost surely, 2209774312 is an apocalyptic number.

209774312 is a gapful number since it is divisible by the number (22) 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 209774312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222047490).

209774312 is an abundant number, since it is smaller than the sum of its proper divisors (234320668).

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

209774312 is a wasteful number, since it uses less digits than its factorization.

209774312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 209774312 is about 14483.5876770916. The cubic root of 209774312 is about 594.1791869101.

The spelling of 209774312 in words is "two hundred nine million, seven hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 814 968 1628 3256 4477 5857 8954 11714 17908 23428 35816 46856 64427 128854 216709 257708 433418 515416 708697 866836 1417394 1733672 2383799 2834788 4767598 5669576 9535196 19070392 26221789 52443578 104887156 209774312