Search a number
-
+
122969288 = 23131182397
BaseRepresentation
bin1110101010001…
…01110011001000
322120101111011002
413111011303020
5222440004123
620111354132
73022136021
oct725056310
9276344132
10122969288
116345a712
1235222948
131c6265c0
141248dc48
15abe0528
hex7545cc8

122969288 has 16 divisors (see below), whose sum is σ = 248303580. Its totient is φ = 56755008.

The previous prime is 122969239. The next prime is 122969317. The reversal of 122969288 is 882969221.

It can be written as a sum of positive squares in 2 ways, for example, as 103591684 + 19377604 = 10178^2 + 4402^2 .

It is a super-3 number, since 3×1229692883 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 591095 + ... + 591302.

Almost surely, 2122969288 is an apocalyptic number.

It is an amenable number.

122969288 is an abundant number, since it is smaller than the sum of its proper divisors (125334292).

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

122969288 is a wasteful number, since it uses less digits than its factorization.

122969288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182416 (or 1182412 counting only the distinct ones).

The product of its digits is 248832, while the sum is 47.

The square root of 122969288 is about 11089.1518160768. The cubic root of 122969288 is about 497.2775878471.

The spelling of 122969288 in words is "one hundred twenty-two million, nine hundred sixty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 104 1182397 2364794 4729588 9459176 15371161 30742322 61484644 122969288