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238814232 = 233171394211
BaseRepresentation
bin11100011110000…
…00010000011000
3121122101000112120
432033000100120
5442114023412
635410341240
75626613256
oct1617002030
9548330476
10238814232
11112893738
1267b8a820
133a6271c7
1423a075d6
1515e74b8c
hexe3c0418

238814232 has 64 divisors (see below), whose sum is σ = 636854400. Its totient is φ = 74365440.

The previous prime is 238814209. The next prime is 238814269. The reversal of 238814232 is 232418832.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 238814193 and 238814202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54607 + ... + 58817.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2238814232 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 238814232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

238814232 is an abundant number, since it is smaller than the sum of its proper divisors (398040168).

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

238814232 is a wasteful number, since it uses less digits than its factorization.

238814232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4372 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 238814232 is about 15453.6154992934. The cubic root of 238814232 is about 620.4213507695.

The spelling of 238814232 in words is "two hundred thirty-eight million, eight hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 139 204 278 408 417 556 834 1112 1668 2363 3336 4211 4726 7089 8422 9452 12633 14178 16844 18904 25266 28356 33688 50532 56712 71587 101064 143174 214761 286348 429522 572696 585329 859044 1170658 1718088 1755987 2341316 3511974 4682632 7023948 9950593 14047896 19901186 29851779 39802372 59703558 79604744 119407116 238814232