Search a number
-
+
72222201 = 3283109887
BaseRepresentation
bin1000100111000…
…00010111111001
312000220021020100
410103200113321
5121442102301
611055550013
71534610232
oct423402771
9160807210
1072222201
1137849677
122022b309
1311c6913c
149840089
156519286
hex44e05f9

72222201 has 24 divisors (see below), whose sum is σ = 106666560. Its totient is φ = 47078496.

The previous prime is 72222193. The next prime is 72222229. The reversal of 72222201 is 10222227.

It is a happy number.

It is not a de Polignac number, because 72222201 - 23 = 72222193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72222251) 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 23 ways as a sum of consecutive naturals, for example, 80980 + ... + 81866.

It is an arithmetic number, because the mean of its divisors is an integer number (4444440).

Almost surely, 272222201 is an apocalyptic number.

It is an amenable number.

72222201 is a deficient number, since it is larger than the sum of its proper divisors (34444359).

72222201 is a wasteful number, since it uses less digits than its factorization.

72222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72222201 is about 8498.3646073818. The cubic root of 72222201 is about 416.4442850303. Note that the first 3 decimals are identical.

Adding to 72222201 its reverse (10222227), we get a palindrome (82444428).

The spelling of 72222201 in words is "seventy-two million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 83 109 249 327 747 887 981 2661 7983 9047 27141 73621 81423 96683 220863 290049 662589 870147 8024689 24074067 72222201