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23245229340 = 223195
BaseRepresentation
bin10101101001100001…
…100000110100011100
32020000000000000000000
4111221201200310130
5340101234314330
614402333534300
71452016121634
oct255141406434
966000000000
1023245229340
119949364943
124608944390
132265b21298
1411a72c56c4
15910b00560
hex569860d1c

23245229340 has 120 divisors (see below), whose sum is σ = 73222472400. Its totient is φ = 6198727824.

The previous prime is 23245229339. The next prime is 23245229341. The reversal of 23245229340 is 4392254232.

23245229340 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 522 + 93 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (23245229339) and next prime (23245229341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 23245229295 and 23245229304.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3645 × 2187 × 2916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23245229341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4649045866 + ... + 4649045870.

It is an arithmetic number, because the mean of its divisors is an integer number (610187270).

Almost surely, 223245229340 is an apocalyptic number.

23245229340 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 23245229340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36611236200).

23245229340 is an abundant number, since it is smaller than the sum of its proper divisors (49977243060).

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

23245229340 is an frugal number, since it uses more digits than its factorization.

23245229340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 23245229340 in words is "twenty-three billion, two hundred forty-five million, two hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 6561 7290 8748 10935 13122 14580 19683 21870 26244 32805 39366 43740 59049 65610 78732 98415 118098 131220 177147 196830 236196 295245 354294 393660 531441 590490 708588 885735 1062882 1180980 1594323 1771470 2125764 2657205 3188646 3542940 4782969 5314410 6377292 7971615 9565938 10628820 14348907 15943230 19131876 23914845 28697814 31886460 43046721 47829690 57395628 71744535 86093442 95659380 129140163 143489070 172186884 215233605 258280326 286978140 387420489 430467210 516560652 645700815 774840978 860934420 1162261467 1291401630 1549681956 1937102445 2324522934 2582803260 3874204890 4649045868 5811307335 7748409780 11622614670 23245229340