Search a number
-
+
212154220476 = 22321117192297243
BaseRepresentation
bin1100010110010101100…
…0000111111110111100
3202021121101121001120100
43011211120013332330
511433442440023401
6241243505121100
721220244056062
oct3054530077674
9667541531510
10212154220476
1181a79587a10
123514a029190
13170103cc903
14a3a83a6032
1557ba509b86
hex3165607fbc

212154220476 has 288 divisors, whose sum is σ = 654985094400. Its totient is φ = 57064642560.

The previous prime is 212154220441. The next prime is 212154220477. The reversal of 212154220476 is 674022451212.

212154220476 is a `hidden beast` number, since 2 + 1 + 21 + 542 + 20 + 4 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212154220476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212154220477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29287311 + ... + 29294553.

It is an arithmetic number, because the mean of its divisors is an integer number (2274253800).

Almost surely, 2212154220476 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 212154220476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327492547200).

212154220476 is an abundant number, since it is smaller than the sum of its proper divisors (442830873924).

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

212154220476 is a wasteful number, since it uses less digits than its factorization.

212154220476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 212154220476 its reverse (674022451212), we get a palindrome (886176671688).

The spelling of 212154220476 in words is "two hundred twelve billion, one hundred fifty-four million, two hundred twenty thousand, four hundred seventy-six".