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201211444 = 22721971761
BaseRepresentation
bin10111111111000…
…11111000110100
3112000121121012201
423333203320310
5403002231234
631544354244
74662161200
oct1377437064
9460547181
10201211444
11a3640155
1257475984
13328bc835
141ca19b00
15129e8314
hexbfe3e34

201211444 has 72 divisors (see below), whose sum is σ = 437814720. Its totient is φ = 80438400.

The previous prime is 201211411. The next prime is 201211447. The reversal of 201211444 is 444112102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211447) 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, 264024 + ... + 264784.

It is an arithmetic number, because the mean of its divisors is an integer number (6080760).

Almost surely, 2201211444 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 201211444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218907360).

201211444 is an abundant number, since it is smaller than the sum of its proper divisors (236603276).

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

201211444 is a wasteful number, since it uses less digits than its factorization.

201211444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 201211444 is about 14184.9019735774. The cubic root of 201211444 is about 585.9819328377.

Adding to 201211444 its reverse (444112102), we get a palindrome (645323546).

It can be divided in two parts, 2012 and 11444, that added together give a square (13456 = 1162).

The spelling of 201211444 in words is "two hundred one million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 71 76 98 133 142 196 266 284 497 532 761 931 994 1349 1522 1862 1988 2698 3044 3479 3724 5327 5396 6958 9443 10654 13916 14459 18886 21308 28918 37289 37772 54031 57836 66101 74578 101213 108062 132202 149156 202426 216124 264404 378217 404852 708491 756434 1026589 1416982 1512868 2053178 2647519 2833964 4106356 5295038 7186123 10590076 14372246 28744492 50302861 100605722 201211444