Search a number
-
+
73122225 = 35211611453
BaseRepresentation
bin1000101101111…
…00000110110001
312002120222211120
410112330012301
5122204402400
611131132453
71545346221
oct426740661
9162528746
1073122225
11383038a0
12205a4129
13121c29b7
1499d6081
156645ca0
hex45bc1b1

73122225 has 48 divisors (see below), whose sum is σ = 134140224. Its totient is φ = 34848000.

The previous prime is 73122223. The next prime is 73122233. The reversal of 73122225 is 52222137.

It is a happy number.

It is not a de Polignac number, because 73122225 - 21 = 73122223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73122195 and 73122204.

It is not an unprimeable number, because it can be changed into a prime (73122223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49599 + ... + 51051.

It is an arithmetic number, because the mean of its divisors is an integer number (2794588).

Almost surely, 273122225 is an apocalyptic number.

73122225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73122225 is a deficient number, since it is larger than the sum of its proper divisors (61017999).

73122225 is a wasteful number, since it uses less digits than its factorization.

73122225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1533 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 73122225 is about 8551.1534309706. The cubic root of 73122225 is about 418.1670406003.

The spelling of 73122225 in words is "seventy-three million, one hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 61 75 165 183 275 305 671 825 915 1453 1525 2013 3355 4359 4575 7265 10065 15983 16775 21795 36325 47949 50325 79915 88633 108975 239745 265899 399575 443165 974963 1198725 1329495 2215825 2924889 4874815 6647475 14624445 24374075 73122225