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231646295168 = 2719222392
BaseRepresentation
bin1101011110111100110…
…0011111010010000000
3211010220211101001021122
43113233030133102000
512243402422421133
6254230012011412
722510261010141
oct3275714372200
9733824331248
10231646295168
118a271327152
1238a89a60b68
1318ac87a9012
14b2d7031ac8
15605b894498
hex35ef31f480

231646295168 has 72 divisors (see below), whose sum is σ = 487267397955. Its totient is φ = 109678185216.

The previous prime is 231646295161. The next prime is 231646295201. The reversal of 231646295168 is 861592646132.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 115823147584 + 115823147584 = 340328^2 + 340328^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=340328.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231646295161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103458593 + ... + 103460831.

Almost surely, 2231646295168 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 231646295168

231646295168 is an abundant number, since it is smaller than the sum of its proper divisors (255621102787).

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

231646295168 is an frugal number, since it uses more digits than its factorization.

231646295168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 2260 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 53.

The spelling of 231646295168 in words is "two hundred thirty-one billion, six hundred forty-six million, two hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1216 1444 2239 2432 2888 4478 5776 8956 11552 17912 23104 35824 42541 46208 71648 85082 143296 170164 286592 340328 680656 808279 1361312 1616558 2722624 3233116 5013121 5445248 6466232 10026242 12932464 20052484 25864928 40104968 51729856 80209936 95249299 103459712 160419872 190498598 320839744 380997196 641679488 761994392 1523988784 1809736681 3047977568 3619473362 6095955136 7238946724 12191910272 14477893448 28955786896 57911573792 115823147584 231646295168