Search a number
-
+
211555254225532 = 227210314867704867
BaseRepresentation
bin110000000110100010001011…
…110001110100101001111100
31000202001111002102001221011211
4300012202023301310221330
5210212110130040204112
62025535050410054204
762363235262532200
oct6006421361645174
91022044072057154
10211555254225532
116145409685a158
121b8889aa71a364
139107761cc10b9
143a3548686ab00
15196d0871440a7
hexc0688bc74a7c

211555254225532 has 72 divisors (see below), whose sum is σ = 434877143186304. Its totient is φ = 89780113207008.

The previous prime is 211555254225509. The next prime is 211555254225541. The reversal of 211555254225532 is 235522452555112.

It is a super-2 number, since 2×2115552542255322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299782563 + ... + 300487429.

It is an arithmetic number, because the mean of its divisors is an integer number (6039960322032).

Almost surely, 2211555254225532 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 211555254225532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217438571593152).

211555254225532 is an abundant number, since it is smaller than the sum of its proper divisors (223321888960772).

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

211555254225532 is a wasteful number, since it uses less digits than its factorization.

211555254225532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719855 (or 719846 counting only the distinct ones).

The product of its digits is 6000000, while the sum is 49.

The spelling of 211555254225532 in words is "two hundred eleven trillion, five hundred fifty-five billion, two hundred fifty-four million, two hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 412 721 1442 2884 5047 10094 14867 20188 29734 59468 104069 208138 416276 704867 728483 1409734 1456966 1531301 2819468 2913932 3062602 4934069 6125204 9868138 10719107 19736276 21438214 34538483 42876428 69076966 72601301 75033749 138153932 145202602 150067498 290405204 300134996 508209107 1016418214 2032836428 3557463749 7114927498 10479257689 14229854996 20958515378 41917030756 73354803823 146709607646 293419215292 513483626761 1026967253522 1079363541967 2053934507044 2158727083934 4317454167868 7555544793769 15111089587538 30222179175076 52888813556383 105777627112766 211555254225532