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211424514 = 2373195407
BaseRepresentation
bin11001001101000…
…01010100000010
3112201211110220120
430212201110002
5413111041024
632551321110
75145036000
oct1446412402
9481743816
10211424514
11a9386404
125a980196
1334a57382
1420117a70
1513864479
hexc9a1502

211424514 has 64 divisors (see below), whose sum is σ = 519168000. Its totient is φ = 57217104.

The previous prime is 211424513. The next prime is 211424519. The reversal of 211424514 is 415424112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211424513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36399 + ... + 41805.

It is an arithmetic number, because the mean of its divisors is an integer number (8112000).

Almost surely, 2211424514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211424514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259584000).

211424514 is an abundant number, since it is smaller than the sum of its proper divisors (307743486).

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

211424514 is a wasteful number, since it uses less digits than its factorization.

211424514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5438 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 211424514 is about 14540.4440785005. Note that the first 3 decimals coincide. The cubic root of 211424514 is about 595.7331677199.

Adding to 211424514 its reverse (415424112), we get a palindrome (626848626).

The spelling of 211424514 in words is "two hundred eleven million, four hundred twenty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 686 798 931 1029 1862 2058 2793 5407 5586 6517 10814 13034 16221 19551 32442 37849 39102 75698 102733 113547 205466 227094 264943 308199 529886 616398 719131 794829 1438262 1589658 1854601 2157393 3709202 4314786 5033917 5563803 10067834 11127606 15101751 30203502 35237419 70474838 105712257 211424514