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238897152 = 2113213997
BaseRepresentation
bin11100011110101…
…00100000000000
3121122112020021200
432033110200000
5442124202102
635412221200
75630410104
oct1617244000
9548466250
10238897152
1111293aa6a
126800a800
133a655b80
1423a29904
1515e8e51c
hexe3d4800

238897152 has 144 divisors (see below), whose sum is σ = 743799420. Its totient is φ = 73433088.

The previous prime is 238897133. The next prime is 238897163. The reversal of 238897152 is 251798832.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 238887936 + 9216 = 15456^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2388971522 = 114143698467422208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 238897098 and 238897107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239118 + ... + 240114.

Almost surely, 2238897152 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 238897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371899710).

238897152 is an abundant number, since it is smaller than the sum of its proper divisors (504902268).

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

238897152 is a wasteful number, since it uses less digits than its factorization.

238897152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1015 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 238897152 is about 15456.2981337706. The cubic root of 238897152 is about 620.4931490942.

The spelling of 238897152 in words is "two hundred thirty-eight million, eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 997 1024 1152 1248 1536 1664 1872 1994 2048 2304 2496 2991 3072 3328 3744 3988 4608 4992 5982 6144 6656 7488 7976 8973 9216 9984 11964 12961 13312 14976 15952 17946 18432 19968 23928 25922 26624 29952 31904 35892 38883 39936 47856 51844 59904 63808 71784 77766 79872 95712 103688 116649 119808 127616 143568 155532 191424 207376 233298 239616 255232 287136 311064 382848 414752 466596 510464 574272 622128 765696 829504 933192 1020928 1148544 1244256 1531392 1659008 1866384 2041856 2297088 2488512 3062784 3318016 3732768 4594176 4977024 6125568 6636032 7465536 9188352 9954048 13272064 14931072 18376704 19908096 26544128 29862144 39816192 59724288 79632384 119448576 238897152