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31302216 = 23321123593
BaseRepresentation
bin111011101101…
…0001001001000
32011220022120100
41313122021020
531003132331
63034525400
7530031051
oct167321110
964808510
1031302216
111673a900
12a596860
13663c92a
14422b728
152b34ae6
hex1dda248

31302216 has 72 divisors (see below), whose sum is σ = 93210390. Its totient is φ = 9482880.

The previous prime is 31302209. The next prime is 31302217. The reversal of 31302216 is 61220313.

It can be written as a sum of positive squares in only one way, i.e., 28579716 + 2722500 = 5346^2 + 1650^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31302217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6916 + ... + 10508.

Almost surely, 231302216 is an apocalyptic number.

31302216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31302216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46605195).

31302216 is an abundant number, since it is smaller than the sum of its proper divisors (61908174).

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

31302216 is a wasteful number, since it uses less digits than its factorization.

31302216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 31302216 is about 5594.8383354660. The cubic root of 31302216 is about 315.1555996191.

Adding to 31302216 its reverse (61220313), we get a palindrome (92522529).

The spelling of 31302216 in words is "thirty-one million, three hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3593 4356 7186 8712 10779 14372 21558 28744 32337 39523 43116 64674 79046 86232 118569 129348 158092 237138 258696 316184 355707 434753 474276 711414 869506 948552 1304259 1422828 1739012 2608518 2845656 3478024 3912777 5217036 7825554 10434072 15651108 31302216