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238861216 = 2511432367
BaseRepresentation
bin11100011110010…
…11101110100000
3121122110101222201
432033023232200
5442122024331
635411342544
75630200246
oct1617135640
9548411881
10238861216
11112915a70
1267bb1a54
133a6426c9
1423a1a796
1515e83a61
hexe3cbba0

238861216 has 72 divisors (see below), whose sum is σ = 526647744. Its totient is φ = 105759360.

The previous prime is 238861199. The next prime is 238861229. The reversal of 238861216 is 612168832.

It is a happy number.

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, 650665 + ... + 651031.

It is an arithmetic number, because the mean of its divisors is an integer number (7314552).

Almost surely, 2238861216 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 238861216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263323872).

238861216 is an abundant number, since it is smaller than the sum of its proper divisors (287786528).

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

238861216 is a wasteful number, since it uses less digits than its factorization.

238861216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 423 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 238861216 is about 15455.1355865939. The cubic root of 238861216 is about 620.4620350635.

The spelling of 238861216 in words is "two hundred thirty-eight million, eight hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 367 473 688 734 946 1376 1468 1849 1892 2936 3698 3784 4037 5872 7396 7568 8074 11744 14792 15136 15781 16148 20339 29584 31562 32296 40678 59168 63124 64592 81356 126248 129184 162712 173591 252496 325424 347182 504992 650848 678583 694364 1357166 1388728 2714332 2777456 5428664 5554912 7464413 10857328 14928826 21714656 29857652 59715304 119430608 238861216