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211023414 = 23371732839
BaseRepresentation
bin11001001001111…
…11011000110110
3112201002002201000
430210333120312
5413010222124
632534544130
75141445420
oct1444773066
9481062630
10211023414
11a9132018
125a808046
1334946934
1420051810
15137d56c9
hexc93f636

211023414 has 64 divisors (see below), whose sum is σ = 567475200. Its totient is φ = 56744064.

The previous prime is 211023391. The next prime is 211023419. The reversal of 211023414 is 414320112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211023419) 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, 9994 + ... + 22845.

It is an arithmetic number, because the mean of its divisors is an integer number (8866800).

Almost surely, 2211023414 is an apocalyptic number.

211023414 is an abundant number, since it is smaller than the sum of its proper divisors (356451786).

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

211023414 is a wasteful number, since it uses less digits than its factorization.

211023414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32874 (or 32868 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211023414 is about 14526.6449670941. The cubic root of 211023414 is about 595.3562012807.

Adding to 211023414 its reverse (414320112), we get a palindrome (625343526).

The spelling of 211023414 in words is "two hundred eleven million, twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 32839 65678 98517 197034 229873 295551 459746 558263 591102 689619 886653 1116526 1379238 1674789 1773306 2068857 3349578 3907841 4137714 5024367 6206571 7815682 10048734 11723523 12413142 15073101 23447046 30146202 35170569 70341138 105511707 211023414