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238719210921 = 32232732972
BaseRepresentation
bin1101111001010011000…
…1100001010110101001
3211211011202022101200100
43132110301201112221
512402344104222141
6301355513100013
723150453545602
oct3362461412651
9754152271610
10238719210921
1192270853474
123a3226b7609
1319684c31979
14b7a852cda9
1563227b30b6
hex3794c615a9

238719210921 has 81 divisors (see below), whose sum is σ = 369272481669. Its totient is φ = 148593595392.

The previous prime is 238719210913. The next prime is 238719210923. The reversal of 238719210921 is 129012917832.

The square root of 238719210921 is 488589.

It is a perfect power (a square), and thus also a powerful number.

238719210921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67420521 + 238651790400 = 8211^2 + 488520^2 .

It is not a de Polignac number, because 238719210921 - 23 = 238719210913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238719210923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2461022745 + ... + 2461022841.

Almost surely, 2238719210921 is an apocalyptic number.

238719210921 is the 488589-th square number.

238719210921 is the 244295-th centered octagonal number.

It is an amenable number.

238719210921 is a deficient number, since it is larger than the sum of its proper divisors (130553270748).

238719210921 is an frugal number, since it uses more digits than its factorization.

238719210921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 238719210921 in words is "two hundred thirty-eight billion, seven hundred nineteen million, two hundred ten thousand, nine hundred twenty-one".

Divisors: 1 3 9 23 69 73 97 207 219 291 529 657 873 1587 1679 2231 4761 5037 5329 6693 7081 9409 15111 15987 20079 21243 28227 38617 47961 51313 63729 84681 115851 122567 153939 162863 216407 347553 367701 461817 488589 516913 649221 686857 1103103 1465767 1550739 1947663 2060571 2819041 3745849 4652217 4977361 6181713 8457123 11237547 11888999 14932083 15797711 25371369 33712641 35666997 44796249 47393133 50140561 107000991 142179399 150421683 273446977 363347353 451265049 820340931 1090042059 1153232903 2461022793 3270126177 3459698709 10379096127 26524356769 79573070307 238719210921