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147122032 = 2431476311
BaseRepresentation
bin10001100010011…
…10011101110000
3101020211120111011
420301032131300
5300130401112
622333200304
73434342131
oct1061163560
9336746434
10147122032
1176056a62
1241330094
1324631c75
1415779c88
15cdb1aa7
hex8c4e770

147122032 has 40 divisors (see below), whose sum is σ = 300552192. Its totient is φ = 69662400.

The previous prime is 147122021. The next prime is 147122033. The reversal of 147122032 is 230221741.

It is a junction number, because it is equal to n+sod(n) for n = 147121994 and 147122012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147122033) 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 7 ways as a sum of consecutive naturals, for example, 20157 + ... + 26467.

Almost surely, 2147122032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150276096).

147122032 is an abundant number, since it is smaller than the sum of its proper divisors (153430160).

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

147122032 is a wasteful number, since it uses less digits than its factorization.

147122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6391 counting only the distinct ones).

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

The square root of 147122032 is about 12129.3871238410. The cubic root of 147122032 is about 527.9092092132.

Adding to 147122032 its reverse (230221741), we get a palindrome (377343773).

The spelling of 147122032 in words is "one hundred forty-seven million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 47 62 94 124 188 248 376 496 752 1457 2914 5828 6311 11656 12622 23312 25244 50488 100976 195641 296617 391282 593234 782564 1186468 1565128 2372936 3130256 4745872 9195127 18390254 36780508 73561016 147122032