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238216308 = 2231117831279
BaseRepresentation
bin11100011001011…
…10010001110100
3121121020122100020
432030232101310
5441440410213
635345445140
75621543121
oct1614562164
9547218306
10238216308
11112515490
12679407b0
133a477cc5
14238cd748
1515da7923
hexe32e474

238216308 has 96 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 67069440.

The previous prime is 238216271. The next prime is 238216327. The reversal of 238216308 is 803612832.

238216308 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

238216308 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185613 + ... + 186891.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2238216308 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 238216308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

238216308 is an abundant number, since it is smaller than the sum of its proper divisors (412064652).

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

238216308 is a wasteful number, since it uses less digits than its factorization.

238216308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 238216308 is about 15434.2576109122. The cubic root of 238216308 is about 619.9031308944.

The spelling of 238216308 in words is "two hundred thirty-eight million, two hundred sixteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 83 102 132 166 187 204 249 332 374 498 561 748 913 996 1122 1279 1411 1826 2244 2558 2739 2822 3652 3837 4233 5116 5478 5644 7674 8466 10956 14069 15348 15521 16932 21743 28138 31042 42207 43486 46563 56276 62084 65229 84414 86972 93126 106157 130458 168828 186252 212314 239173 260916 318471 424628 478346 636942 717519 956692 1167727 1273884 1435038 1804669 2335454 2870076 3503181 3609338 4670908 5414007 7006362 7218676 10828014 14012724 19851359 21656028 39702718 59554077 79405436 119108154 238216308