Search a number
-
+
45212200 = 23521120551
BaseRepresentation
bin1010110001111…
…0001000101000
310011002000110221
42230132020220
543033242300
64253015424
71056203665
oct254361050
9104060427
1045212200
1123580660
1213184574
1394a00a7
14600ca6c
153e8131a
hex2b1e228

45212200 has 48 divisors (see below), whose sum is σ = 114680160. Its totient is φ = 16440000.

The previous prime is 45212179. The next prime is 45212201. The reversal of 45212200 is 221254.

It is not an unprimeable number, because it can be changed into a prime (45212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8076 + ... + 12475.

It is an arithmetic number, because the mean of its divisors is an integer number (2389170).

Almost surely, 245212200 is an apocalyptic number.

45212200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45212200 is an abundant number, since it is smaller than the sum of its proper divisors (69467960).

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

45212200 is a wasteful number, since it uses less digits than its factorization.

45212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20578 (or 20569 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 45212200 is about 6724.0017846518. The cubic root of 45212200 is about 356.2475448687.

Adding to 45212200 its reverse (221254), we get a palindrome (45433454).

The spelling of 45212200 in words is "forty-five million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 20551 41102 82204 102755 164408 205510 226061 411020 452122 513775 822040 904244 1027550 1130305 1808488 2055100 2260610 4110200 4521220 5651525 9042440 11303050 22606100 45212200