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23133451224 = 23313619119783
BaseRepresentation
bin10101100010110111…
…000111001111011000
32012201012200002020210
4111202313013033120
5334334130414344
614343302051120
71446161043132
oct254267071730
965635602223
1023133451224
1198a1259334
124597419aa0
1322489157a0
14119650a052
15905dc0db9
hex562dc73d8

23133451224 has 64 divisors (see below), whose sum is σ = 62383507200. Its totient is φ = 7106426496.

The previous prime is 23133451213. The next prime is 23133451259. The reversal of 23133451224 is 42215433132.

It is a junction number, because it is equal to n+sod(n) for n = 23133451191 and 23133451200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133237 + ... + 253019.

It is an arithmetic number, because the mean of its divisors is an integer number (974742300).

Almost surely, 223133451224 is an apocalyptic number.

23133451224 is a gapful number since it is divisible by the number (24) 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 23133451224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31191753600).

23133451224 is an abundant number, since it is smaller than the sum of its proper divisors (39250055976).

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

23133451224 is a wasteful number, since it uses less digits than its factorization.

23133451224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120424 (or 120420 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 23133451224 its reverse (42215433132), we get a palindrome (65348884356).

The spelling of 23133451224 in words is "twenty-three billion, one hundred thirty-three million, four hundred fifty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 619 1238 1857 2476 3714 4952 7428 8047 14856 16094 24141 32188 48282 64376 96564 119783 193128 239566 359349 479132 718698 958264 1437396 1557179 2874792 3114358 4671537 6228716 9343074 12457432 18686148 37372296 74145677 148291354 222437031 296582708 444874062 593165416 889748124 963893801 1779496248 1927787602 2891681403 3855575204 5783362806 7711150408 11566725612 23133451224