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211349032 = 23173797433
BaseRepresentation
bin11001001100011…
…10111000101000
3112201200122100221
430212032320220
5413101132112
632545535424
75144302636
oct1446167050
9481618327
10211349032
11a9334724
125a944574
1334a2bbcb
14200d8356
151384be07
hexc98ee28

211349032 has 64 divisors (see below), whose sum is σ = 436378320. Its totient is φ = 95551488.

The previous prime is 211349029. The next prime is 211349051. The reversal of 211349032 is 230943112.

It can be written as a sum of positive squares in 8 ways, for example, as 132388036 + 78960996 = 11506^2 + 8886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211348988 and 211349006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487888 + ... + 488320.

Almost surely, 2211349032 is an apocalyptic number.

It is an amenable number.

211349032 is an abundant number, since it is smaller than the sum of its proper divisors (225029288).

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

211349032 is a wasteful number, since it uses less digits than its factorization.

211349032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 211349032 is about 14537.8482589412. The cubic root of 211349032 is about 595.6622637953.

The spelling of 211349032 in words is "two hundred eleven million, three hundred forty-nine thousand, thirty-two".

Divisors: 1 2 4 8 17 34 37 68 74 97 136 148 194 296 388 433 629 776 866 1258 1649 1732 2516 3298 3464 3589 5032 6596 7178 7361 13192 14356 14722 16021 28712 29444 32042 42001 58888 61013 64084 84002 122026 128168 168004 244052 272357 336008 488104 544714 714017 1089428 1428034 1554037 2178856 2856068 3108074 5712136 6216148 12432296 26418629 52837258 105674516 211349032