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122232033 = 32711233757
BaseRepresentation
bin1110100100100…
…01110011100001
322112000000211100
413102101303201
5222242411113
620043505013
73012645420
oct722216341
9275000740
10122232033
1162aa6810
1234b28169
131c428b61
141233b2b7
15aae6d73
hex7491ce1

122232033 has 48 divisors (see below), whose sum is σ = 221360256. Its totient is φ = 63141120.

The previous prime is 122232017. The next prime is 122232037. The reversal of 122232033 is 330232221.

It is a happy number.

It is not a de Polignac number, because 122232033 - 24 = 122232017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122231997 and 122232015.

It is not an unprimeable number, because it can be changed into a prime (122232037) 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 47 ways as a sum of consecutive naturals, for example, 161091 + ... + 161847.

It is an arithmetic number, because the mean of its divisors is an integer number (4611672).

Almost surely, 2122232033 is an apocalyptic number.

It is an amenable number.

122232033 is a deficient number, since it is larger than the sum of its proper divisors (99128223).

122232033 is a wasteful number, since it uses less digits than its factorization.

122232033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 122232033 is about 11055.8596680674. The cubic root of 122232033 is about 496.2817957873.

Adding to 122232033 its reverse (330232221), we get a palindrome (452464254).

The spelling of 122232033 in words is "one hundred twenty-two million, two hundred thirty-two thousand, thirty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 233 693 699 757 1631 2097 2271 2563 4893 5299 6813 7689 8327 14679 15897 17941 23067 24981 47691 53823 58289 74943 161469 174867 176381 524601 529143 1234667 1587429 1940191 3704001 5820573 11112003 13581337 17461719 40744011 122232033