Search a number
-
+
450022125 = 35372191289
BaseRepresentation
bin11010110100101…
…100101011101101
31011100210111022010
4122310230223231
51410201202000
6112353311433
714103060600
oct3264545355
91140714263
10450022125
11211031313
12106865579
1372306aa7
1443aa6337
1529794d50
hex1ad2caed

450022125 has 96 divisors (see below), whose sum is σ = 917654400. Its totient is φ = 194745600.

The previous prime is 450022123. The next prime is 450022127. The reversal of 450022125 is 521220054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450022123) and next prime (450022127).

It is not a de Polignac number, because 450022125 - 21 = 450022123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348481 + ... + 349769.

It is an arithmetic number, because the mean of its divisors is an integer number (9558900).

Almost surely, 2450022125 is an apocalyptic number.

It is an amenable number.

450022125 is an abundant number, since it is smaller than the sum of its proper divisors (467632275).

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

450022125 is a wasteful number, since it uses less digits than its factorization.

450022125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 450022125 is about 21213.7249204377. The cubic root of 450022125 is about 766.3219911479.

Adding to 450022125 its reverse (521220054), we get a palindrome (971242179).

The spelling of 450022125 in words is "four hundred fifty million, twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 49 57 75 95 105 125 133 147 175 245 285 375 399 475 525 665 735 875 931 1225 1289 1425 1995 2375 2625 2793 3325 3675 3867 4655 6125 6445 7125 9023 9975 13965 16625 18375 19335 23275 24491 27069 32225 45115 49875 63161 69825 73473 96675 116375 122455 135345 161125 171437 189483 225575 315805 349125 367365 483375 514311 612275 676725 857185 947415 1127875 1200059 1579025 1836825 2571555 3061375 3383625 3600177 4285925 4737075 6000295 7895125 9184125 12857775 18000885 21429625 23685375 30001475 64288875 90004425 150007375 450022125