Search a number
-
+
74417220 = 22325413429
BaseRepresentation
bin1000110111110…
…00010001000100
312012000210020100
410123320101010
5123022322340
611215004100
71562351553
oct433702104
9165023210
1074417220
1139008839
1220b09630
1312557277
149c51d9a
1567ee830
hex46f8444

74417220 has 36 divisors (see below), whose sum is σ = 225732780. Its totient is φ = 19844544.

The previous prime is 74417209. The next prime is 74417221. The reversal of 74417220 is 2271447.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 60933636 = 3672^2 + 7806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (74417221) 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, 206535 + ... + 206894.

It is an arithmetic number, because the mean of its divisors is an integer number (6270355).

Almost surely, 274417220 is an apocalyptic number.

It is an amenable number.

74417220 is an abundant number, since it is smaller than the sum of its proper divisors (151315560).

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

74417220 is a wasteful number, since it uses less digits than its factorization.

74417220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413444 (or 413439 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 74417220 is about 8626.5416013603. The cubic root of 74417220 is about 420.6211896369.

Adding to 74417220 its reverse (2271447), we get a palindrome (76688667).

The spelling of 74417220 in words is "seventy-four million, four hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 413429 826858 1240287 1653716 2067145 2480574 3720861 4134290 4961148 6201435 7441722 8268580 12402870 14883444 18604305 24805740 37208610 74417220