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23303342224 = 2419477392207
BaseRepresentation
bin10101101100111111…
…001100100010010000
32020011001100102220001
4111230333030202100
5340211123422344
614412211255344
71453323066151
oct255477144220
966131312801
1023303342224
119979146a18
1246242aa554
132274b8a2c6
1411b0cd1928
15915c7ded4
hex56cfcc890

23303342224 has 80 divisors (see below), whose sum is σ = 48625459200. Its totient is φ = 10784057472.

The previous prime is 23303342221. The next prime is 23303342233. The reversal of 23303342224 is 42224330332.

It is a super-2 number, since 2×233033422242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23303342192 and 23303342201.

It is not an unprimeable number, because it can be changed into a prime (23303342221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10557729 + ... + 10559935.

It is an arithmetic number, because the mean of its divisors is an integer number (607818240).

Almost surely, 223303342224 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 23303342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312729600).

23303342224 is an abundant number, since it is smaller than the sum of its proper divisors (25322116976).

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

23303342224 is a wasteful number, since it uses less digits than its factorization.

23303342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 23303342224 its reverse (42224330332), we get a palindrome (65527672556).

The spelling of 23303342224 in words is "twenty-three billion, three hundred three million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 739 752 893 1478 1786 2207 2956 3572 4414 5912 7144 8828 11824 14041 14288 17656 28082 34733 35312 41933 56164 69466 83866 103729 112328 138932 167732 207458 224656 277864 335464 414916 555728 659927 670928 829832 1319854 1630973 1659664 1970851 2639708 3261946 3941702 5279416 6523892 7883404 10558832 13047784 15766808 26095568 30988487 31533616 61976974 76655731 123953948 153311462 247907896 306622924 495815792 613245848 1226491696 1456458889 2912917778 5825835556 11651671112 23303342224