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238121429 = 72131572381
BaseRepresentation
bin11100011000101…
…11000111010101
3121121001211012012
432030113013111
5441424341204
635343434005
75620666400
oct1614270725
9547054165
10238121429
11112460177
12678b5905
133a443a70
14238a6d37
1515d8976e
hexe3171d5

238121429 has 24 divisors (see below), whose sum is σ = 300332088. Its totient is φ = 187125120.

The previous prime is 238121423. The next prime is 238121437. The reversal of 238121429 is 924121832.

It can be written as a sum of positive squares in 4 ways, for example, as 19140625 + 218980804 = 4375^2 + 14798^2 .

It is a de Polignac number, because none of the positive numbers 2k-238121429 is a prime.

238121429 is a modest number, since divided by 21429 gives 2381 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 238121395 and 238121404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238121423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98819 + ... + 101199.

It is an arithmetic number, because the mean of its divisors is an integer number (12513837).

Almost surely, 2238121429 is an apocalyptic number.

It is an amenable number.

238121429 is a deficient number, since it is larger than the sum of its proper divisors (62210659).

238121429 is a wasteful number, since it uses less digits than its factorization.

238121429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2558 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 238121429 is about 15431.1836551834. The cubic root of 238121429 is about 619.8208197098.

It can be divided in two parts, 2381 and 21429, that multiplied together give a square (51022449 = 71432).

The spelling of 238121429 in words is "two hundred thirty-eight million, one hundred twenty-one thousand, four hundred twenty-nine".

Divisors: 1 7 13 49 91 157 637 1099 2041 2381 7693 14287 16667 30953 100009 116669 216671 373817 1516697 2616719 4859621 18317033 34017347 238121429