Search a number
-
+
227708672 = 281914657
BaseRepresentation
bin11011001001010…
…00111100000000
3120212110210120112
431210220330000
5431243134142
634332330452
75433330452
oct1544507400
9525423515
10227708672
11107598994
1264313a28
1338239379
14223562d2
1514ece382
hexd928f00

227708672 has 36 divisors (see below), whose sum is σ = 457005696. Its totient is φ = 113233920.

The previous prime is 227708633. The next prime is 227708729. The reversal of 227708672 is 276807722.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46568 + ... + 51224.

Almost surely, 2227708672 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 227708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228502848).

227708672 is an abundant number, since it is smaller than the sum of its proper divisors (229297024).

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

227708672 is an equidigital number, since it uses as much as digits as its factorization.

227708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 227708672 is about 15090.0189529371. The cubic root of 227708672 is about 610.6511652551.

The spelling of 227708672 in words is "two hundred twenty-seven million, seven hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 764 1528 3056 4657 6112 9314 12224 18628 24448 37256 48896 74512 149024 298048 596096 889487 1192192 1778974 3557948 7115896 14231792 28463584 56927168 113854336 227708672