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23340341200 = 2452117174713
BaseRepresentation
bin10101101111001100…
…010101011111010000
32020020121222011221111
4111233030111133100
5340300111404300
614420012303104
71454252424661
oct255714253720
966217864844
1023340341200
119998017890
124634771a94
13227c742ba7
1411b5ba3368
1591913b9ba
hex56f3157d0

23340341200 has 120 divisors (see below), whose sum is σ = 62035333056. Its totient is φ = 8367744000.

The previous prime is 23340341197. The next prime is 23340341231. The reversal of 23340341200 is 214304332.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 275044 + ... + 349756.

Almost surely, 223340341200 is an apocalyptic number.

23340341200 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 23340341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31017666528).

23340341200 is an abundant number, since it is smaller than the sum of its proper divisors (38694991856).

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

23340341200 is a wasteful number, since it uses less digits than its factorization.

23340341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74813 (or 74802 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23340341200 its reverse (214304332), we get a palindrome (23554645532).

The spelling of 23340341200 in words is "twenty-three billion, three hundred forty million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 71 80 88 100 110 142 176 200 220 275 284 355 400 440 550 568 710 781 880 1100 1136 1420 1562 1775 2200 2840 3124 3550 3905 4400 5680 6248 7100 7810 12496 14200 15620 19525 28400 31240 39050 62480 74713 78100 149426 156200 298852 312400 373565 597704 747130 821843 1195408 1494260 1643686 1867825 2988520 3287372 3735650 4109215 5304623 5977040 6574744 7471300 8218430 10609246 13149488 14942600 16436860 20546075 21218492 26523115 29885200 32873720 41092150 42436984 53046230 58350853 65747440 82184300 84873968 106092460 116701706 132615575 164368600 212184920 233403412 265231150 291754265 328737200 424369840 466806824 530462300 583508530 933613648 1060924600 1167017060 1458771325 2121849200 2334034120 2917542650 4668068240 5835085300 11670170600 23340341200