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238366016 = 2675310039
BaseRepresentation
bin11100011010100…
…10110101000000
3121121112020200222
432031102311000
5442010203031
635353002212
75623035440
oct1615226500
9547466628
10238366016
11112607a09
12679b3368
133a4cb1a5
142392c120
1515dd6e7b
hexe352d40

238366016 has 56 divisors (see below), whose sum is σ = 550834560. Its totient is φ = 100219392.

The previous prime is 238366013. The next prime is 238366019. The reversal of 238366016 is 610663832.

It is an interprime number because it is at equal distance from previous prime (238366013) and next prime (238366019).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238366013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18725 + ... + 28763.

Almost surely, 2238366016 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 238366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275417280).

238366016 is an abundant number, since it is smaller than the sum of its proper divisors (312468544).

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

238366016 is a wasteful number, since it uses less digits than its factorization.

238366016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 238366016 is about 15439.1067099104. The cubic root of 238366016 is about 620.0329639081.

The spelling of 238366016 in words is "two hundred thirty-eight million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 5936 10039 11872 20078 23744 40156 70273 80312 140546 160624 281092 321248 532067 562184 642496 1064134 1124368 2128268 2248736 3724469 4256536 4497472 7448938 8513072 14897876 17026144 29795752 34052288 59591504 119183008 238366016