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23213024032240 = 2457192975230179
BaseRepresentation
bin1010100011100101101000…
…00011010011010111110000
310001012010212120000212002201
411101302310003103113300
511020310233123012430
6121211525505552544
74614041242462330
oct521626403232760
9101163776025081
1023213024032240
11743a6519a4119
12272aa0a945754
13cc4c9549a353
145a3732c590c0
152a3c5614b8ca
hex151cb40d35f0

23213024032240 has 160 divisors (see below), whose sum is σ = 67165504704000. Its totient is φ = 7279873864704.

The previous prime is 23213024032171. The next prime is 23213024032241. The reversal of 23213024032240 is 4223042031232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 23213024032199 and 23213024032208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213024032241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37306530 + ... + 37923649.

It is an arithmetic number, because the mean of its divisors is an integer number (419784404400).

Almost surely, 223213024032240 is an apocalyptic number.

23213024032240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23213024032240 is an abundant number, since it is smaller than the sum of its proper divisors (43952480671760).

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

23213024032240 is a wasteful number, since it uses less digits than its factorization.

23213024032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75230247 (or 75230241 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23213024032240 its reverse (4223042031232), we get a palindrome (27436066063472).

The spelling of 23213024032240 in words is "twenty-three trillion, two hundred thirteen billion, twenty-four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 29 35 38 40 56 58 70 76 80 95 112 116 133 140 145 152 190 203 232 266 280 290 304 380 406 464 532 551 560 580 665 760 812 1015 1064 1102 1160 1330 1520 1624 2030 2128 2204 2320 2660 2755 3248 3857 4060 4408 5320 5510 7714 8120 8816 10640 11020 15428 16240 19285 22040 30856 38570 44080 61712 77140 154280 308560 75230179 150460358 300920716 376150895 526611253 601841432 752301790 1053222506 1203682864 1429373401 1504603580 2106445012 2181675191 2633056265 2858746802 3009207160 4212890024 4363350382 5266112530 5717493604 6018414320 7146867005 8425780048 8726700764 10005613807 10532225060 10908375955 11434987208 14293734010 15271726337 17453401528 20011227614 21064450120 21816751910 22869974416 28587468020 30543452674 34906803056 40022455228 41451828629 42128900240 43633503820 50028069035 57174936040 61086905348 76358631685 80044910456 82903657258 87267007640 100056138070 114349872080 122173810696 152717263370 160089820912 165807314516 174534015280 200112276140 207259143145 244347621392 290162800403 305434526740 331614629032 400224552280 414518286290 580325600806 610869053480 663229258064 800449104560 829036572580 1160651201612 1221738106960 1450814002015 1658073145160 2321302403224 2901628004030 3316146290320 4642604806448 5803256008060 11606512016120 23213024032240