Search a number
-
+
23212031023200 = 2535217568922329
BaseRepresentation
bin1010100011100011110001…
…10111010001100001100000
310001012001022100111202210010
411101301320313101201200
511020301214420220300
6121211243154204520
74614004524156255
oct521617067214140
9101161270452703
1023212031023200
11743a192415798
12272a792283740
13cc4b6783a236
145a367b00b42c
152a3be8d9ba50
hex151c78dd1860

23212031023200 has 144 divisors (see below), whose sum is σ = 79999582355280. Its totient is φ = 5825764638720.

The previous prime is 23212031023193. The next prime is 23212031023231. The reversal of 23212031023200 is 232013021232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284420365 + ... + 284501964.

It is an arithmetic number, because the mean of its divisors is an integer number (555552655245).

Almost surely, 223212031023200 is an apocalyptic number.

23212031023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212031023200 is an abundant number, since it is smaller than the sum of its proper divisors (56787551332080).

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

23212031023200 is a wasteful number, since it uses less digits than its factorization.

23212031023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568922369 (or 568922356 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23212031023200 its reverse (232013021232), we get a palindrome (23444044044432).

The spelling of 23212031023200 in words is "twenty-three trillion, two hundred twelve billion, thirty-one million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 40800 568922329 1137844658 1706766987 2275689316 2844611645 3413533974 4551378632 5689223290 6827067948 8533834935 9102757264 9671679593 11378446580 13654135896 14223058225 17067669870 18205514528 19343359186 22756893160 27308271792 28446116450 29015038779 34135339740 38686718372 42669174675 45513786320 48358397965 54616543584 56892232900 58030077558 68270679480 77373436744 85338349350 91027572640 96716795930 113784465800 116060155116 136541358960 145075193895 154746873488 170676698700 193433591860 227568931600 232120310232 241791989825 273082717920 290150387790 309493746976 341353397400 386867183720 455137863200 464240620464 483583979650 580300775580 682706794800 725375969475 773734367440 928481240928 967167959300 1160601551160 1365413589600 1450751938950 1547468734880 1934335918600 2321203102320 2901503877900 3868671837200 4642406204640 5803007755800 7737343674400 11606015511600 23212031023200