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2197216 = 25717577
BaseRepresentation
bin1000011000011011100000
311010122000101
420120123200
51030302331
6115032144
724450610
oct10303340
94118011
102197216
11127088a
1289b654
135bc138
14412a40
152d6061
hex2186e0

2197216 has 48 divisors (see below), whose sum is σ = 5243616. Its totient is φ = 884736.

The previous prime is 2197193. The next prime is 2197241. The reversal of 2197216 is 6127912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3520 + ... + 4096.

It is an arithmetic number, because the mean of its divisors is an integer number (109242).

22197216 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 2197216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621808).

2197216 is an abundant number, since it is smaller than the sum of its proper divisors (3046400).

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

2197216 is a wasteful number, since it uses less digits than its factorization.

2197216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 2197216 is about 1482.3009141197. The cubic root of 2197216 is about 130.0042602154.

It can be divided in two parts, 2197 and 216, that multiplied together give a cube (474552 = 783).

The spelling of 2197216 in words is "two million, one hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 577 952 1154 1904 2308 3808 4039 4616 8078 9232 9809 16156 18464 19618 32312 39236 64624 68663 78472 129248 137326 156944 274652 313888 549304 1098608 2197216