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239382216 = 2335196481
BaseRepresentation
bin11100100010010…
…10111011001000
3121200102212200000
432101022323020
5442240212331
635430443000
75634500223
oct1621127310
9550385600
10239382216
11113141447
1268203460
133a7958a8
1423b145ba
15160380e6
hexe44aec8

239382216 has 96 divisors (see below), whose sum is σ = 707834400. Its totient is φ = 75582720.

The previous prime is 239382133. The next prime is 239382259. The reversal of 239382216 is 612283932.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33696 + ... + 40176.

It is an arithmetic number, because the mean of its divisors is an integer number (7373275).

Almost surely, 2239382216 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 239382216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353917200).

239382216 is an abundant number, since it is smaller than the sum of its proper divisors (468452184).

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

239382216 is a wasteful number, since it uses less digits than its factorization.

239382216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6505 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 239382216 is about 15471.9816442497. The cubic root of 239382216 is about 620.9128212004.

The spelling of 239382216 in words is "two hundred thirty-nine million, three hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 4104 4617 6156 6481 9234 12312 12962 18468 19443 25924 36936 38886 51848 58329 77772 116658 123139 155544 174987 233316 246278 349974 369417 466632 492556 524961 699948 738834 985112 1049922 1108251 1399896 1477668 1574883 2099844 2216502 2955336 3149766 3324753 4199688 4433004 6299532 6649506 8866008 9974259 12599064 13299012 19948518 26598024 29922777 39897036 59845554 79794072 119691108 239382216