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231888216 = 23373673761
BaseRepresentation
bin11011101001001…
…01010101011000
3121011100010211110
431310211111120
5433330410331
635002100320
75514005640
oct1564452530
9534303743
10231888216
1110999305a
12657aa6a0
1339070881
1422b23520
1515557946
hexdd25558

231888216 has 64 divisors (see below), whose sum is σ = 664519680. Its totient is φ = 66055680.

The previous prime is 231888203. The next prime is 231888227. The reversal of 231888216 is 612888132.

231888216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 59776 + ... + 63536.

It is an arithmetic number, because the mean of its divisors is an integer number (10383120).

Almost surely, 2231888216 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 231888216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332259840).

231888216 is an abundant number, since it is smaller than the sum of its proper divisors (432631464).

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

231888216 is a wasteful number, since it uses less digits than its factorization.

231888216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4140 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 231888216 is about 15227.8762800333. The cubic root of 231888216 is about 614.3646608160.

The spelling of 231888216 in words is "two hundred thirty-one million, eight hundred eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 367 734 1101 1468 2202 2569 2936 3761 4404 5138 7522 7707 8808 10276 11283 15044 15414 20552 22566 26327 30088 30828 45132 52654 61656 78981 90264 105308 157962 210616 315924 631848 1380287 2760574 4140861 5521148 8281722 9662009 11042296 16563444 19324018 28986027 33126888 38648036 57972054 77296072 115944108 231888216