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211425216 = 26310310691
BaseRepresentation
bin11001001101000…
…01011111000000
3112201211111212120
430212201133000
5413111101331
632551324240
75145041022
oct1446413700
9481744776
10211425216
11a9386992
125a980680
1334a577a2
1420118012
1513864796
hexc9a17c0

211425216 has 56 divisors (see below), whose sum is σ = 564879744. Its totient is φ = 69784320.

The previous prime is 211425211. The next prime is 211425271. The reversal of 211425216 is 612524112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211425211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14431 + ... + 25121.

Almost surely, 2211425216 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 211425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282439872).

211425216 is an abundant number, since it is smaller than the sum of its proper divisors (353454528).

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

211425216 is a wasteful number, since it uses less digits than its factorization.

211425216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10809 (or 10799 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 211425216 is about 14540.4682180458. The cubic root of 211425216 is about 595.7338270635.

Adding to 211425216 its reverse (612524112), we get a palindrome (823949328).

The spelling of 211425216 in words is "two hundred eleven million, four hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 9888 10691 19776 21382 32073 42764 64146 85528 128292 171056 256584 342112 513168 684224 1026336 1101173 2052672 2202346 3303519 4404692 6607038 8809384 13214076 17618768 26428152 35237536 52856304 70475072 105712608 211425216