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23314300224 = 263431281737
BaseRepresentation
bin10101101101101000…
…111111110101000000
32020011210222011102220
4111231220333311000
5340221430101344
614413242211040
71453515165525
oct255550776500
966153864386
1023314300224
119984350916
124627ab3a80
132277225c27
1411b254514c
15916be5c19
hex56da3fd40

23314300224 has 56 divisors (see below), whose sum is σ = 61829094528. Its totient is φ = 7753374720.

The previous prime is 23314300201. The next prime is 23314300237. The reversal of 23314300224 is 42200341332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23314300194 and 23314300203.

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 7 ways as a sum of consecutive naturals, for example, 58117 + ... + 223620.

Almost surely, 223314300224 is an apocalyptic number.

23314300224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23314300224 is an abundant number, since it is smaller than the sum of its proper divisors (38514794304).

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

23314300224 is a wasteful number, since it uses less digits than its factorization.

23314300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282183 (or 282173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23314300224 its reverse (42200341332), we get a palindrome (65514641556).

The spelling of 23314300224 in words is "twenty-three billion, three hundred fourteen million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 431 862 1293 1724 2586 3448 5172 6896 10344 13792 20688 27584 41376 82752 281737 563474 845211 1126948 1690422 2253896 3380844 4507792 6761688 9015584 13523376 18031168 27046752 54093504 121428647 242857294 364285941 485714588 728571882 971429176 1457143764 1942858352 2914287528 3885716704 5828575056 7771433408 11657150112 23314300224