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8214213 = 3721719173
BaseRepresentation
bin11111010101011011000101
3120110022210010
4133111123011
54100323323
6452020433
7126551100
oct37253305
916408703
108214213
114700507
122901719
131917aa7
14113b737
15ac3c93
hex7d56c5

8214213 has 48 divisors (see below), whose sum is σ = 14281920. Its totient is φ = 4161024.

The previous prime is 8214211. The next prime is 8214223. The reversal of 8214213 is 3124128.

It is not a de Polignac number, because 8214213 - 21 = 8214211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 8214213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47395 + ... + 47567.

It is an arithmetic number, because the mean of its divisors is an integer number (297540).

Almost surely, 28214213 is an apocalyptic number.

It is an amenable number.

8214213 is a deficient number, since it is larger than the sum of its proper divisors (6067707).

8214213 is a wasteful number, since it uses less digits than its factorization.

8214213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 8214213 is about 2866.0448356577. The cubic root of 8214213 is about 201.7694081435.

The spelling of 8214213 in words is "eight million, two hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 7 17 19 21 49 51 57 119 133 147 173 323 357 399 519 833 931 969 1211 2261 2499 2793 2941 3287 3633 6783 8477 8823 9861 15827 20587 23009 25431 47481 55879 61761 69027 144109 161063 167637 391153 432327 483189 1173459 2738071 8214213