Search a number
-
+
11222500 = 2254672
BaseRepresentation
bin101010110011…
…110111100100
3210010011101011
4222303313210
510333110000
61040312004
7164250442
oct52636744
923104334
1011222500
1163756a3
123912604
13242c143
1416c1b92
15eba2ba
hexab3de4

11222500 has 45 divisors (see below), whose sum is σ = 24913119. Its totient is φ = 4422000.

The previous prime is 11222489. The next prime is 11222501. The reversal of 11222500 is 522211.

The square root of 11222500 is 3350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 879844 + 10342656 = 938^2 + 3216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11222501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 167467 + ... + 167533.

Almost surely, 211222500 is an apocalyptic number.

11222500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11222500 is the 3350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222500

11222500 is an abundant number, since it is smaller than the sum of its proper divisors (13690619).

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

11222500 is an frugal number, since it uses more digits than its factorization.

11222500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The cubic root of 11222500 is about 223.8875126111.

Adding to 11222500 its reverse (522211), we get a palindrome (11744711).

The spelling of 11222500 in words is "eleven million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 125 134 250 268 335 500 625 670 1250 1340 1675 2500 3350 4489 6700 8375 8978 16750 17956 22445 33500 41875 44890 83750 89780 112225 167500 224450 448900 561125 1122250 2244500 2805625 5611250 11222500