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23252122260 = 223253119121817
BaseRepresentation
bin10101101001111011…
…110011101010010100
32020000110222012022100
4111221323303222110
5340110020403020
614403141402100
71452131530623
oct255173635224
966013865270
1023252122260
119952242674
12460b109330
132267395833
1411a819b6ba
15911512a90
hex569ef3a94

23252122260 has 144 divisors (see below), whose sum is σ = 73191186432. Its totient is φ = 5968857600.

The previous prime is 23252122213. The next prime is 23252122277. The reversal of 23252122260 is 6222125232.

23252122260 is a `hidden beast` number, since 232 + 52 + 122 + 260 = 666.

It is a super-2 number, since 2×232521222602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 1054872 + ... + 1076688.

It is an arithmetic number, because the mean of its divisors is an integer number (508272128).

Almost surely, 223252122260 is an apocalyptic number.

23252122260 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 23252122260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36595593216).

23252122260 is an abundant number, since it is smaller than the sum of its proper divisors (49939064172).

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

23252122260 is a wasteful number, since it uses less digits than its factorization.

23252122260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22054 (or 22049 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23252122260 its reverse (6222125232), we get a palindrome (29474247492).

The spelling of 23252122260 in words is "twenty-three billion, two hundred fifty-two million, one hundred twenty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 191 279 310 372 382 465 558 573 620 764 930 955 1116 1146 1395 1719 1860 1910 2292 2790 2865 3438 3820 5580 5730 5921 6876 8595 11460 11842 17190 17763 21817 23684 29605 34380 35526 43634 53289 59210 65451 71052 87268 88815 106578 109085 118420 130902 177630 196353 213156 218170 261804 266445 327255 355260 392706 436340 532890 654510 676327 785412 981765 1065780 1309020 1352654 1963530 2028981 2705308 3381635 3927060 4057962 4167047 6086943 6763270 8115924 8334094 10144905 12173886 12501141 13526540 16668188 20289810 20835235 24347772 25002282 30434715 37503423 40579620 41670470 50004564 60869430 62505705 75006846 83340940 121738860 125011410 129178457 150013692 187517115 250022820 258356914 375034230 387535371 516713828 645892285 750068460 775070742 1162606113 1291784570 1550141484 1937676855 2325212226 2583569140 3875353710 4650424452 5813030565 7750707420 11626061130 23252122260