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122172261 = 31937531093
BaseRepresentation
bin1110100100000…
…11001101100101
322111212222211120
413102003031211
5222234003021
620042324153
73012306231
oct722031545
9274788746
10122172261
1162a65912
1234ab9659
131c4078a3
14123235c1
15aad42c6
hex7483365

122172261 has 32 divisors (see below), whose sum is σ = 179591040. Its totient is φ = 73592064.

The previous prime is 122172247. The next prime is 122172263. The reversal of 122172261 is 162271221.

It is not a de Polignac number, because 122172261 - 210 = 122171237 is a prime.

It is a super-2 number, since 2×1221722612 = 29852122715704242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122172263) 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 31 ways as a sum of consecutive naturals, for example, 111231 + ... + 112323.

It is an arithmetic number, because the mean of its divisors is an integer number (5612220).

Almost surely, 2122172261 is an apocalyptic number.

It is an amenable number.

122172261 is a deficient number, since it is larger than the sum of its proper divisors (57418779).

122172261 is a wasteful number, since it uses less digits than its factorization.

122172261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205.

The product of its digits is 672, while the sum is 24.

The square root of 122172261 is about 11053.1561555965. The cubic root of 122172261 is about 496.2008879398.

The spelling of 122172261 in words is "one hundred twenty-two million, one hundred seventy-two thousand, two hundred sixty-one".

Divisors: 1 3 19 37 53 57 111 159 703 1007 1093 1961 2109 3021 3279 5883 20767 37259 40441 57929 62301 111777 121323 173787 768379 1100651 2143373 2305137 3301953 6430119 40724087 122172261