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63223140 = 22351278297
BaseRepresentation
bin1111000100101…
…1010101100100
311101222001211210
43301023111210
5112141120030
610135031420
71365250011
oct361132544
9141861753
1063223140
1132762532
121920b570
1310138056
14857a708
15583cbb0
hex3c4b564

63223140 has 48 divisors (see below), whose sum is σ = 178440192. Its totient is φ = 16724736.

The previous prime is 63223129. The next prime is 63223141. The reversal of 63223140 is 4132236.

It is a happy number.

63223140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63223141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3472 + ... + 11768.

It is an arithmetic number, because the mean of its divisors is an integer number (3717504).

Almost surely, 263223140 is an apocalyptic number.

63223140 is a gapful number since it is divisible by the number (60) 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 63223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89220096).

63223140 is an abundant number, since it is smaller than the sum of its proper divisors (115217052).

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

63223140 is a wasteful number, since it uses less digits than its factorization.

63223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 63223140 is about 7951.2980072438. The cubic root of 63223140 is about 398.3749486272.

Adding to 63223140 its reverse (4132236), we get a palindrome (67355376).

The spelling of 63223140 in words is "sixty-three million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 8297 16594 24891 33188 41485 49782 82970 99564 124455 165940 248910 497820 1053719 2107438 3161157 4214876 5268595 6322314 10537190 12644628 15805785 21074380 31611570 63223140