Search a number
-
+
10216332 = 2232771571
BaseRepresentation
bin100110111110…
…001110001100
3201020001011200
4212332032030
510103410312
61002545500
7152560140
oct46761614
921201150
1010216332
115848755
123508290
132169189
1414dd220
15d6c0dc
hex9be38c

10216332 has 72 divisors (see below), whose sum is σ = 29981952. Its totient is φ = 2872800.

The previous prime is 10216309. The next prime is 10216373. The reversal of 10216332 is 23361201.

10216332 is a `hidden beast` number, since 10 + 21 + 633 + 2 = 666.

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

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, 17607 + ... + 18177.

It is an arithmetic number, because the mean of its divisors is an integer number (416416).

Almost surely, 210216332 is an apocalyptic number.

10216332 is a gapful number since it is divisible by the number (12) 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 10216332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990976).

10216332 is an abundant number, since it is smaller than the sum of its proper divisors (19765620).

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

10216332 is a wasteful number, since it uses less digits than its factorization.

10216332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 654 counting only the distinct ones).

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

The square root of 10216332 is about 3196.2997356318. The cubic root of 10216332 is about 216.9859760027.

Adding to 10216332 its reverse (23361201), we get a palindrome (33577533).

The spelling of 10216332 in words is "ten million, two hundred sixteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 571 639 852 994 1142 1278 1491 1713 1988 2284 2556 2982 3426 3997 4473 5139 5964 6852 7994 8946 10278 11991 15988 17892 20556 23982 35973 40541 47964 71946 81082 121623 143892 162164 243246 283787 364869 486492 567574 729738 851361 1135148 1459476 1702722 2554083 3405444 5108166 10216332