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238900224 = 2103194093
BaseRepresentation
bin11100011110101…
…01010000000000
3121122112101111110
432033111100000
5442124301344
635412243320
75630422053
oct1617252000
9548471443
10238900224
11112942302
1268010540
133a6573a4
1423a2aa9a
1515e903b9
hexe3d5400

238900224 has 88 divisors (see below), whose sum is σ = 670433440. Its totient is φ = 75423744.

The previous prime is 238900219. The next prime is 238900237. The reversal of 238900224 is 422009832.

It is a junction number, because it is equal to n+sod(n) for n = 238900191 and 238900200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56322 + ... + 60414.

Almost surely, 2238900224 is an apocalyptic number.

238900224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335216720).

238900224 is an abundant number, since it is smaller than the sum of its proper divisors (431533216).

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

238900224 is a wasteful number, since it uses less digits than its factorization.

238900224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 238900224 is about 15456.3975104162. The cubic root of 238900224 is about 620.4958087419.

The spelling of 238900224 in words is "two hundred thirty-eight million, nine hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4093 4864 7296 8186 9728 12279 14592 16372 19456 24558 29184 32744 49116 58368 65488 77767 98232 130976 155534 196464 233301 261952 311068 392928 466602 523904 622136 785856 933204 1047808 1244272 1571712 1866408 2095616 2488544 3143424 3732816 4191232 4977088 6286848 7465632 9954176 12573696 14931264 19908352 29862528 39816704 59725056 79633408 119450112 238900224