Search a number
-
+
9006213 = 331113857
BaseRepresentation
bin100010010110…
…110010000101
3121221120012110
4202112302011
54301144323
6521011233
7136360116
oct42266205
917846173
109006213
1150a1557
123023b19
131b34428
1412a620d
15bcd793
hex896c85

9006213 has 16 divisors (see below), whose sum is σ = 12519936. Its totient is φ = 5752320.

The previous prime is 9006203. The next prime is 9006253. The reversal of 9006213 is 3126009.

It is not a de Polignac number, because 9006213 - 24 = 9006197 is a prime.

It is a super-2 number, since 2×90062132 = 162223745202738, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9006213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10081 + ... + 10937.

It is an arithmetic number, because the mean of its divisors is an integer number (782496).

Almost surely, 29006213 is an apocalyptic number.

9006213 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

9006213 is a deficient number, since it is larger than the sum of its proper divisors (3513723).

9006213 is a wasteful number, since it uses less digits than its factorization.

9006213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 9006213 is about 3001.0353213516. The cubic root of 9006213 is about 208.0562363351.

The spelling of 9006213 in words is "nine million, six thousand, two hundred thirteen".

Divisors: 1 3 31 93 113 339 857 2571 3503 10509 26567 79701 96841 290523 3002071 9006213