Search a number
-
+
123216552 = 2335241263
BaseRepresentation
bin1110101100000…
…10001010101000
322120212001100000
413112002022220
5223020412202
620120543000
73024215634
oct726021250
9276761300
10123216552
1163609468
1235321a60
131c6b2004
1412515dc4
15ac3d91c
hex75822a8

123216552 has 96 divisors (see below), whose sum is σ = 348828480. Its totient is φ = 40746240.

The previous prime is 123216547. The next prime is 123216553. The reversal of 123216552 is 255612321.

It is a happy number.

123216552 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 655 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123216553) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 468373 + ... + 468635.

It is an arithmetic number, because the mean of its divisors is an integer number (3633630).

Almost surely, 2123216552 is an apocalyptic number.

123216552 is a gapful number since it is divisible by the number (12) 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 123216552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174414240).

123216552 is an abundant number, since it is smaller than the sum of its proper divisors (225611928).

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

123216552 is a wasteful number, since it uses less digits than its factorization.

123216552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

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

The square root of 123216552 is about 11100.2951312116. The cubic root of 123216552 is about 497.6106697222.

Adding to 123216552 its reverse (255612321), we get a palindrome (378828873).

The spelling of 123216552 in words is "one hundred twenty-three million, two hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 241 243 263 324 482 486 526 648 723 789 964 972 1052 1446 1578 1928 1944 2104 2169 2367 2892 3156 4338 4734 5784 6312 6507 7101 8676 9468 13014 14202 17352 18936 19521 21303 26028 28404 39042 42606 52056 56808 58563 63383 63909 78084 85212 117126 126766 127818 156168 170424 190149 234252 253532 255636 380298 468504 507064 511272 570447 760596 1140894 1521192 1711341 2281788 3422682 4563576 5134023 6845364 10268046 13690728 15402069 20536092 30804138 41072184 61608276 123216552