Search a number
-
+
123221448 = 233271092243
BaseRepresentation
bin1110101100000…
…11010111001000
322120212022001100
413112003113020
5223021041243
620121021400
73024236130
oct726032710
9276768040
10123221448
1163612109
1235324860
131c6b42cc
1412517ac0
15ac400d3
hex75835c8

123221448 has 96 divisors (see below), whose sum is σ = 385070400. Its totient is φ = 34867584.

The previous prime is 123221437. The next prime is 123221453. The reversal of 123221448 is 844122321.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53815 + ... + 56057.

It is an arithmetic number, because the mean of its divisors is an integer number (4011150).

Almost surely, 2123221448 is an apocalyptic number.

123221448 is a gapful number since it is divisible by the number (18) 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 123221448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535200).

123221448 is an abundant number, since it is smaller than the sum of its proper divisors (261848952).

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

123221448 is a wasteful number, since it uses less digits than its factorization.

123221448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2364 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 123221448 is about 11100.5156636978. The cubic root of 123221448 is about 497.6172604752.

Adding to 123221448 its reverse (844122321), we get a palindrome (967343769).

The spelling of 123221448 in words is "one hundred twenty-three million, two hundred twenty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 109 126 168 218 252 327 436 504 654 763 872 981 1308 1526 1962 2243 2289 2616 3052 3924 4486 4578 6104 6729 6867 7848 8972 9156 13458 13734 15701 17944 18312 20187 26916 27468 31402 40374 47103 53832 54936 62804 80748 94206 125608 141309 161496 188412 244487 282618 376824 488974 565236 733461 977948 1130472 1466922 1711409 1955896 2200383 2933844 3422818 4400766 5134227 5867688 6845636 8801532 10268454 13691272 15402681 17603064 20536908 30805362 41073816 61610724 123221448