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23242022320 = 2451127197459
BaseRepresentation
bin10101101001010101…
…010001110110110000
32012222202222001210111
4111221111101312300
5340044424203240
614402141111104
71451646634006
oct255125216660
965882861714
1023242022320
119947574410
124607858494
13226526a63a
1411a6acca76
159106ba1ea
hex569551db0

23242022320 has 80 divisors (see below), whose sum is σ = 59168355840. Its totient is φ = 8420371200.

The previous prime is 23242022281. The next prime is 23242022341. The reversal of 23242022320 is 2322024232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23242022291 and 23242022300.

It is an unprimeable number.

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, 189751 + ... + 287209.

It is an arithmetic number, because the mean of its divisors is an integer number (739604448).

Almost surely, 223242022320 is an apocalyptic number.

23242022320 is a gapful number since it is divisible by the number (20) 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 23242022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29584177920).

23242022320 is an abundant number, since it is smaller than the sum of its proper divisors (35926333520).

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

23242022320 is a wasteful number, since it uses less digits than its factorization.

23242022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97754 (or 97748 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 23242022320 its reverse (2322024232), we get a palindrome (25564046552).

The spelling of 23242022320 in words is "twenty-three billion, two hundred forty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 271 440 542 880 1084 1355 2168 2710 2981 4336 5420 5962 10840 11924 14905 21680 23848 29810 47696 59620 97459 119240 194918 238480 389836 487295 779672 974590 1072049 1559344 1949180 2144098 3898360 4288196 5360245 7796720 8576392 10720490 17152784 21440980 26411389 42881960 52822778 85763920 105645556 132056945 211291112 264113890 290525279 422582224 528227780 581050558 1056455560 1162101116 1452626395 2112911120 2324202232 2905252790 4648404464 5810505580 11621011160 23242022320