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238873216 = 2723411979
BaseRepresentation
bin11100011110011…
…10101010000000
3121122111000110011
432033032222000
5442122420331
635411514304
75630250241
oct1617165200
9548430404
10238873216
11112923a8a
1267bb8994
133a647cca
1423a20cc8
1515e873b1
hexe3cea80

238873216 has 64 divisors (see below), whose sum is σ = 508939200. Its totient is φ = 111400960.

The previous prime is 238873211. The next prime is 238873237. The reversal of 238873216 is 612378832.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (238873211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119715 + ... + 121693.

It is an arithmetic number, because the mean of its divisors is an integer number (7952175).

Almost surely, 2238873216 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 238873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254469600).

238873216 is an abundant number, since it is smaller than the sum of its proper divisors (270065984).

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

238873216 is a wasteful number, since it uses less digits than its factorization.

238873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2045 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 238873216 is about 15455.5238021880. The cubic root of 238873216 is about 620.4724252249.

The spelling of 238873216 in words is "two hundred thirty-eight million, eight hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 328 368 656 736 943 1312 1472 1886 1979 2624 2944 3772 3958 5248 7544 7916 15088 15832 30176 31664 45517 60352 63328 81139 91034 120704 126656 162278 182068 253312 324556 364136 649112 728272 1298224 1456544 1866197 2596448 2913088 3732394 5192896 5826176 7464788 10385792 14929576 29859152 59718304 119436608 238873216