Search a number
-
+
238221150752 = 2513266372
BaseRepresentation
bin1101110111011100010…
…1100100101000100000
3211202220001010022120102
43131313011210220200
512400334103311002
6301234242001532
723132225241254
oct3356705445040
9752801108512
10238221150752
11920356a14a2
123a2039462a8
13196059a8800
14b75c320264
1562e3bcea02
hex3777164a20

238221150752 has 54 divisors (see below), whose sum is σ = 507926316303. Its totient is φ = 109931657472.

The previous prime is 238221150743. The next prime is 238221150779. The reversal of 238221150752 is 257051122832.

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 5 ways, for example, as 16828316176 + 221392834576 = 129724^2 + 470524^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=345124.

It is a super-2 number, since 2×2382211507522 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35889578 + ... + 35896214.

Almost surely, 2238221150752 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 238221150752

238221150752 is an abundant number, since it is smaller than the sum of its proper divisors (269705165551).

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

238221150752 is an frugal number, since it uses more digits than its factorization.

238221150752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13310 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 238221150752 in words is "two hundred thirty-eight billion, two hundred twenty-one million, one hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 6637 13274 26548 53096 86281 106192 172562 212384 345124 690248 1121653 1380496 2243306 2760992 4486612 8973224 17946448 35892896 44049769 88099538 176199076 352398152 572646997 704796304 1145293994 1409592608 2290587988 4581175976 7444410961 9162351952 14888821922 18324703904 29777643844 59555287688 119110575376 238221150752