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211201144 = 23711271439
BaseRepresentation
bin11001001011010…
…10110001111000
3112201102010111121
430211222301320
5413031414034
632542435024
75143115530
oct1445526170
9481363447
10211201144
11a9243600
125a892a74
13349a97bb
142009a4c0
151381d1b4
hexc96ac78

211201144 has 96 divisors (see below), whose sum is σ = 505612800. Its totient is φ = 80942400.

The previous prime is 211201141. The next prime is 211201147. The reversal of 211201144 is 441102112.

It is a happy number.

211201144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211201141) and next prime (211201147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480877 + ... + 481315.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2211201144 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 211201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252806400).

211201144 is an abundant number, since it is smaller than the sum of its proper divisors (294411656).

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

211201144 is a wasteful number, since it uses less digits than its factorization.

211201144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 211201144 is about 14532.7610590693. The cubic root of 211201144 is about 595.5232964280.

Adding to 211201144 its reverse (441102112), we get a palindrome (652303256).

The spelling of 211201144 in words is "two hundred eleven million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 77 88 121 142 154 242 284 308 439 484 497 568 616 781 847 878 968 994 1562 1694 1756 1988 3073 3124 3388 3512 3976 4829 5467 6146 6248 6776 8591 9658 10934 12292 17182 19316 21868 24584 31169 33803 34364 38632 43736 53119 60137 62338 67606 68728 106238 120274 124676 135212 212476 218183 240548 249352 270424 342859 371833 424952 436366 481096 685718 743666 872732 1371436 1487332 1745464 2400013 2742872 2974664 3771449 4800026 7542898 9600052 15085796 19200104 26400143 30171592 52800286 105600572 211201144