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2260623204300 = 22352103231131657
BaseRepresentation
bin100000111001010111101…
…001001001111111001100
322000010001201101101210110
4200321113221021333030
5244014224020014200
64450303240440020
7322216231121646
oct40712751117714
98003051341713
102260623204300
117a17a795671a
1230615a179010
13135239472066
147b5b40cb896
153dc0d757b50
hex20e57a49fcc

2260623204300 has 144 divisors (see below), whose sum is σ = 6607305216512. Its totient is φ = 596702937600.

The previous prime is 2260623204101. The next prime is 2260623204349. The reversal of 2260623204300 is 34023260622.

It is a super-2 number, since 2×22606232043002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71394072 + ... + 71425728.

Almost surely, 22260623204300 is an apocalyptic number.

2260623204300 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 2260623204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303652608256).

2260623204300 is an abundant number, since it is smaller than the sum of its proper divisors (4346682012212).

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

2260623204300 is a wasteful number, since it uses less digits than its factorization.

2260623204300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34088 (or 34081 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2260623204300 its reverse (34023260622), we get a palindrome (2294646464922).

The spelling of 2260623204300 in words is "two trillion, two hundred sixty billion, six hundred twenty-three million, two hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2311 2575 3090 4622 5150 6180 6933 7725 9244 10300 11555 13866 15450 23110 27732 30900 31657 34665 46220 57775 63314 69330 94971 115550 126628 138660 158285 173325 189942 231100 238033 316570 346650 379884 474855 476066 633140 693300 714099 791425 949710 952132 1190165 1428198 1582850 1899420 2374275 2380330 2856396 3165700 3260671 3570495 4748550 4760660 5950825 6521342 7140990 9497100 9782013 11901650 13042684 14281980 16303355 17852475 19564026 23803300 32606710 35704950 39128052 48910065 65213420 71409900 73159327 81516775 97820130 146318654 163033550 195640260 219477981 244550325 292637308 326067100 365796635 438955962 489100650 731593270 877911924 978201300 1097389905 1463186540 1828983175 2194779810 3657966350 4389559620 5486949525 7315932700 7535410681 10973899050 15070821362 21947798100 22606232043 30141642724 37677053405 45212464086 75354106810 90424928172 113031160215 150708213620 188385267025 226062320430 376770534050 452124640860 565155801075 753541068100 1130311602150 2260623204300