[go: up one dir, main page]

Search a number
-
+
22247010 = 2325416029
BaseRepresentation
bin101010011011…
…1011001100010
31112212021011100
41110313121202
521143401020
62112455230
7360045042
oct124673142
945767140
1022247010
1111615565
12754a516
1347bc116
142d51722
151e46a90
hex1537662

22247010 has 48 divisors (see below), whose sum is σ = 59262840. Its totient is φ = 5786880.

The previous prime is 22246997. The next prime is 22247021. The reversal of 22247010 is 1074222.

It can be written as a sum of positive squares in 4 ways, for example, as 17464041 + 4782969 = 4179^2 + 2187^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676 + ... + 6704.

Almost surely, 222247010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22247010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631420).

22247010 is an abundant number, since it is smaller than the sum of its proper divisors (37015830).

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

22247010 is a wasteful number, since it uses less digits than its factorization.

22247010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6083 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22247010 is about 4716.6736160137. The cubic root of 22247010 is about 281.2487170312.

The spelling of 22247010 in words is "twenty-two million, two hundred forty-seven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 6029 12058 18087 30145 36174 54261 60290 90435 108522 180870 247189 271305 494378 542610 741567 1235945 1483134 2224701 2471890 3707835 4449402 7415670 11123505 22247010