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73106022 = 23112101997
BaseRepresentation
bin1000101101110…
…00001001100110
312002120011121110
410112320021212
5122203343042
611130525450
71545251043
oct426701146
9162504543
1073106022
11382a2700
1220596886
13121b8502
1499d01ca
15664109c
hex45b8266

73106022 has 48 divisors (see below), whose sum is σ = 162466416. Its totient is φ = 21912000.

The previous prime is 73106021. The next prime is 73106023. The reversal of 73106022 is 22060137.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73106021) and next prime (73106023).

It is a self number, because there is not a number n which added to its sum of digits gives 73106022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73106021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72828 + ... + 73824.

It is an arithmetic number, because the mean of its divisors is an integer number (3384717).

Almost surely, 273106022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73106022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81233208).

73106022 is an abundant number, since it is smaller than the sum of its proper divisors (89360394).

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

73106022 is a wasteful number, since it uses less digits than its factorization.

73106022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 73106022 is about 8550.2059624315. The cubic root of 73106022 is about 418.1361514003.

Adding to 73106022 its reverse (22060137), we get a palindrome (95166159).

The spelling of 73106022 in words is "seventy-three million, one hundred six thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 997 1111 1994 2222 2991 3333 5982 6666 10967 12221 21934 24442 32901 36663 65802 73326 100697 120637 201394 241274 302091 361911 604182 723822 1107667 2215334 3323001 6646002 12184337 24368674 36553011 73106022