Search a number
-
+
22250000 = 245689
BaseRepresentation
bin101010011100…
…0001000010000
31112212102021002
41110320020100
521144000000
62112521132
7360056543
oct124701020
945772232
1022250000
1111617833
1275501a8
1347c05a6
142d5285a
151e478d5
hex1538210

22250000 has 70 divisors (see below), whose sum is σ = 54491490. Its totient is φ = 8800000.

The previous prime is 22249979. The next prime is 22250017. The reversal of 22250000 is 5222.

It can be written as a sum of positive squares in 7 ways, for example, as 21381376 + 868624 = 4624^2 + 932^2 .

It is a sliding number, since 22250000 = 6250000 + 16000000 and 1/6250000 + 1/16000000 = 0.00000022250000.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 249956 + ... + 250044.

Almost surely, 222250000 is an apocalyptic number.

22250000 is a gapful number since it is divisible by the number (20) 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 22250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27245745).

22250000 is an abundant number, since it is smaller than the sum of its proper divisors (32241490).

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

22250000 is an frugal number, since it uses more digits than its factorization.

22250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 22250000 is about 4716.9905660283. The cubic root of 22250000 is about 281.2613164171.

Adding to 22250000 its reverse (5222), we get a palindrome (22255222).

The spelling of 22250000 in words is "twenty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3125 3560 4450 5000 6250 7120 8900 10000 11125 12500 15625 17800 22250 25000 31250 35600 44500 50000 55625 62500 89000 111250 125000 178000 222500 250000 278125 445000 556250 890000 1112500 1390625 2225000 2781250 4450000 5562500 11125000 22250000