Search a number
-
+
1222163550 = 232526014519
BaseRepresentation
bin100100011011000…
…1011110001011110
310011011201100012200
41020312023301132
510000333213200
6321135112330
742200135016
oct11066136136
93134640180
101222163550
11577974623
122a13726a6
131662845ca
14b845cc46
1572467800
hex48d8bc5e

1222163550 has 72 divisors (see below), whose sum is σ = 3289737360. Its totient is φ = 325296000.

The previous prime is 1222163533. The next prime is 1222163557. The reversal of 1222163550 is 553612221.

It is a happy number.

1222163550 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 635 + 5 + 0 = 666.

1222163550 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222163557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268191 + ... + 272709.

Almost surely, 21222163550 is an apocalyptic number.

1222163550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222163550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644868680).

1222163550 is an abundant number, since it is smaller than the sum of its proper divisors (2067573810).

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

1222163550 is a wasteful number, since it uses less digits than its factorization.

1222163550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1222163550 is about 34959.4558024006. The cubic root of 1222163550 is about 1069.1610012551.

Adding to 1222163550 its reverse (553612221), we get a palindrome (1775775771).

The spelling of 1222163550 in words is "one billion, two hundred twenty-two million, one hundred sixty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 601 1202 1803 3005 3606 4519 5409 6010 9015 9038 10818 13557 15025 18030 22595 27045 27114 30050 40671 45075 45190 54090 67785 81342 90150 112975 135225 135570 203355 225950 270450 338925 406710 677850 1016775 2033550 2715919 5431838 8147757 13579595 16295514 24443271 27159190 40738785 48886542 67897975 81477570 122216355 135795950 203693925 244432710 407387850 611081775 1222163550