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211031424 = 2732374951
BaseRepresentation
bin11001001010000…
…01010110000000
3112201002111200200
430211001112000
5413011001144
632535045200
75141510652
oct1445012600
9481074620
10211031424
11a913803a
125a810800
133494a486
14200546d2
15137d7c69
hexc941580

211031424 has 96 divisors (see below), whose sum is σ = 623803440. Its totient is φ = 68428800.

The previous prime is 211031419. The next prime is 211031453. The reversal of 211031424 is 424130112.

211031424 is a `hidden beast` number, since 211 + 0 + 31 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 211031397 and 211031406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40149 + ... + 45099.

Almost surely, 2211031424 is an apocalyptic number.

211031424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311901720).

211031424 is an abundant number, since it is smaller than the sum of its proper divisors (412772016).

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

211031424 is a wasteful number, since it uses less digits than its factorization.

211031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4993 counting only the distinct ones).

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

The square root of 211031424 is about 14526.9206647520. The cubic root of 211031424 is about 595.3637340038.

Adding to 211031424 its reverse (424130112), we get a palindrome (635161536).

The spelling of 211031424 in words is "two hundred eleven million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 4951 5328 7104 9902 10656 14208 14853 19804 21312 29706 39608 42624 44559 59412 79216 89118 118824 158432 178236 183187 237648 316864 356472 366374 475296 549561 633728 712944 732748 950592 1099122 1425888 1465496 1648683 1901184 2198244 2851776 2930992 3297366 4396488 5703552 5861984 6594732 8792976 11723968 13189464 17585952 23447936 26378928 35171904 52757856 70343808 105515712 211031424