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233970129 = 3237702613
BaseRepresentation
bin11011111001000…
…01100111010001
3121022020220200100
431330201213101
5434344021004
635114443013
75540466441
oct1574414721
9538226610
10233970129
11110085248
1266433469
133961c383
1423106121
1515819739
hexdf219d1

233970129 has 12 divisors (see below), whose sum is σ = 347091316. Its totient is φ = 151764192.

The previous prime is 233970109. The next prime is 233970137. The reversal of 233970129 is 921079332.

It can be written as a sum of positive squares in 2 ways, for example, as 200930625 + 33039504 = 14175^2 + 5748^2 .

It is a de Polignac number, because none of the positive numbers 2k-233970129 is a prime.

It is a super-3 number, since 3×2339701293 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233970093 and 233970102.

It is not an unprimeable number, because it can be changed into a prime (233970109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350974 + ... + 351639.

Almost surely, 2233970129 is an apocalyptic number.

It is an amenable number.

233970129 is a deficient number, since it is larger than the sum of its proper divisors (113121187).

233970129 is a wasteful number, since it uses less digits than its factorization.

233970129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702656 (or 702653 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 233970129 is about 15296.0821454384. The cubic root of 233970129 is about 616.1977925372.

The spelling of 233970129 in words is "two hundred thirty-three million, nine hundred seventy thousand, one hundred twenty-nine".

Divisors: 1 3 9 37 111 333 702613 2107839 6323517 25996681 77990043 233970129