Search a number
-
+
45222000 = 243537537
BaseRepresentation
bin1010110010000…
…0100001110000
310011002111220220
42230200201300
543034101000
64253133040
71056244365
oct254404160
9104074826
1045222000
1123587a5a
121318a180
1394a46a5
14601246c
153e841a0
hex2b20870

45222000 has 80 divisors (see below), whose sum is σ = 145815072. Its totient is φ = 12057600.

The previous prime is 45221999. The next prime is 45222007. The reversal of 45222000 is 22254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2232 + ... + 9768.

Almost surely, 245222000 is an apocalyptic number.

45222000 is a gapful number since it is divisible by the number (40) 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 45222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72907536).

45222000 is an abundant number, since it is smaller than the sum of its proper divisors (100593072).

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

45222000 is a wasteful number, since it uses less digits than its factorization.

45222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45222000 is about 6724.7304778705. The cubic root of 45222000 is about 356.2732825658.

Adding to 45222000 its reverse (22254), we get a palindrome (45244254).

The spelling of 45222000 in words is "forty-five million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 7537 15074 22611 30148 37685 45222 60296 75370 90444 113055 120592 150740 180888 188425 226110 301480 361776 376850 452220 565275 602960 753700 904440 942125 1130550 1507400 1808880 1884250 2261100 2826375 3014800 3768500 4522200 5652750 7537000 9044400 11305500 15074000 22611000 45222000