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72222601 = 1125691049
BaseRepresentation
bin1000100111000…
…00011110001001
312000220021210011
410103200132021
5121442110401
611055551521
71534611343
oct423403611
9160807704
1072222601
1137849a00
122022b5a1
1311c69389
149840293
156519451
hex44e0789

72222601 has 12 divisors (see below), whose sum is σ = 79600500. Its totient is φ = 65479040.

The previous prime is 72222589. The next prime is 72222617. The reversal of 72222601 is 10622227.

It can be written as a sum of positive squares in 2 ways, for example, as 40005625 + 32216976 = 6325^2 + 5676^2 .

It is not a de Polignac number, because 72222601 - 25 = 72222569 is a prime.

It is a super-2 number, since 2×722226012 = 10432208190410402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72222641) 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, 68325 + ... + 69373.

It is an arithmetic number, because the mean of its divisors is an integer number (6633375).

Almost surely, 272222601 is an apocalyptic number.

It is an amenable number.

72222601 is a deficient number, since it is larger than the sum of its proper divisors (7377899).

72222601 is a wasteful number, since it uses less digits than its factorization.

72222601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 72222601 is about 8498.3881412889. The cubic root of 72222601 is about 416.4450538493.

Adding to 72222601 its reverse (10622227), we get a palindrome (82844828).

The spelling of 72222601 in words is "seventy-two million, two hundred twenty-two thousand, six hundred one".

Divisors: 1 11 121 569 1049 6259 11539 68849 126929 596881 6565691 72222601