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211134228480 = 2113357127859
BaseRepresentation
bin1100010010100010010…
…1001010100000000000
3202011222022022002121000
43010220211022200000
511424400330302410
6240554351132000
721153050221350
oct3045045124000
9664868262530
10211134228480
11815a584991a
1234b04514000
1316ba9cb2b56
14a30cb32b60
15575abc9dc0
hex312894a800

211134228480 has 768 divisors, whose sum is σ = 865492992000. Its totient is φ = 47823519744.

The previous prime is 211134228479. The next prime is 211134228499. The reversal of 211134228480 is 84822431112.

211134228480 is a `hidden beast` number, since 2 + 1 + 113 + 42 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2111342284802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245790291 + ... + 245791149.

It is an arithmetic number, because the mean of its divisors is an integer number (1126944000).

Almost surely, 2211134228480 is an apocalyptic number.

211134228480 is a gapful number since it is divisible by the number (20) 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 211134228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432746496000).

211134228480 is an abundant number, since it is smaller than the sum of its proper divisors (654358763520).

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

211134228480 is a wasteful number, since it uses less digits than its factorization.

211134228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 211134228480 its reverse (84822431112), we get a palindrome (295956659592).

The spelling of 211134228480 in words is "two hundred eleven billion, one hundred thirty-four million, two hundred twenty-eight thousand, four hundred eighty".