Search a number
-
+
215152256288 = 2516724912
BaseRepresentation
bin1100100001100000010…
…0101110010100100000
3202120100022221001112202
43020120010232110200
512011112434200123
6242501203312332
721354450001214
oct3103004562440
9676308831482
10215152256288
1183277926662
123584607b6a8
131739a5770b8
14a5b061a944
1558e3811a28
hex321812e520

215152256288 has 54 divisors (see below), whose sum is σ = 427002260643. Its totient is φ = 106714175680.

The previous prime is 215152256281. The next prime is 215152256303. The reversal of 215152256288 is 882652251512.

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., 107576128144 + 107576128144 = 327988^2 + 327988^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=327988.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (215152256281) 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 8 ways as a sum of consecutive naturals, for example, 438191723 + ... + 438192213.

Almost surely, 2215152256288 is an apocalyptic number.

It is an amenable number.

215152256288 is a deficient number, since it is larger than the sum of its proper divisors (211850004355).

215152256288 is an frugal number, since it uses more digits than its factorization.

215152256288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 660 counting only the distinct ones).

The product of its digits is 768000, while the sum is 47.

The spelling of 215152256288 in words is "two hundred fifteen billion, one hundred fifty-two million, two hundred fifty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 167 334 491 668 982 1336 1964 2672 3928 5344 7856 15712 27889 55778 81997 111556 163994 223112 241081 327988 446224 482162 655976 892448 964324 1311952 1928648 2623904 3857296 7714592 13693499 27386998 40260527 54773996 80521054 109547992 161042108 219095984 322084216 438191968 644168432 1288336864 6723508009 13447016018 26894032036 53788064072 107576128144 215152256288