Search a number
-
+
210281472 = 2103222817
BaseRepresentation
bin11001000100010…
…10010000000000
3112122200101221200
430202022100000
5412313001342
632511021200
75132235342
oct1442122000
9478611850
10210281472
11a8775645
125a50a800
133474700b
141dcdb292
15136da94c
hexc88a400

210281472 has 66 divisors (see below), whose sum is σ = 607209798. Its totient is φ = 70090752.

The previous prime is 210281459. The next prime is 210281507. The reversal of 210281472 is 274182012.

It can be written as a sum of positive squares in only one way, i.e., 210134016 + 147456 = 14496^2 + 384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2193 + ... + 20624.

Almost surely, 2210281472 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 210281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303604899).

210281472 is an abundant number, since it is smaller than the sum of its proper divisors (396928326).

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

210281472 is a wasteful number, since it uses less digits than its factorization.

210281472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22843 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 210281472 is about 14501.0852007703. The cubic root of 210281472 is about 594.6576398271.

It can be divided in two parts, 21028 and 1472, that added together give a square (22500 = 1502).

The spelling of 210281472 in words is "two hundred ten million, two hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 22817 45634 68451 91268 136902 182536 205353 273804 365072 410706 547608 730144 821412 1095216 1460288 1642824 2190432 2920576 3285648 4380864 5841152 6571296 8761728 11682304 13142592 17523456 23364608 26285184 35046912 52570368 70093824 105140736 210281472