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211321424 = 24172231987
BaseRepresentation
bin11001001100010…
…00001001010000
3112201122020111102
430212020021100
5413044241144
632545203532
75144126306
oct1446101120
9481566442
10211321424
11a9315a06
125a9305a8
1334a1c482
14200cc276
1513843b4e
hexc988250

211321424 has 60 divisors (see below), whose sum is σ = 454075104. Its totient is φ = 95073792.

The previous prime is 211321423. The next prime is 211321427. The reversal of 211321424 is 424123112.

It is a junction number, because it is equal to n+sod(n) for n = 211321396 and 211321405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211321423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105359 + ... + 107345.

Almost surely, 2211321424 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 211321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227037552).

211321424 is an abundant number, since it is smaller than the sum of its proper divisors (242753680).

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

211321424 is a wasteful number, since it uses less digits than its factorization.

211321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2029 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 211321424 is about 14536.8987063954. The cubic root of 211321424 is about 595.6363260377.

Adding to 211321424 its reverse (424123112), we get a palindrome (635444536).

The spelling of 211321424 in words is "two hundred eleven million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 289 368 391 578 782 1156 1564 1987 2312 3128 3974 4624 6256 6647 7948 13294 15896 26588 31792 33779 45701 53176 67558 91402 106352 135116 182804 270232 365608 540464 574243 731216 776917 1148486 1553834 2296972 3107668 4593944 6215336 9187888 12430672 13207589 26415178 52830356 105660712 211321424