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23405120416220 = 22523375632442547
BaseRepresentation
bin1010101001001011011011…
…11000110110100111011100
310001212111201002021020122212
411110211231320312213130
511031432141311304340
6121440055222055552
74633651463011124
oct524455570664734
9101774632236585
1023405120416220
117504068339654
12276009b57a5b8
13100a12a22204a
145acb573a1c84
152a8c4a7b3a65
hex15496de369dc

23405120416220 has 96 divisors (see below), whose sum is σ = 52767478245888. Its totient is φ = 8697495958272.

The previous prime is 23405120416211. The next prime is 23405120416267. The reversal of 23405120416220 is 2261402150432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8360987 + ... + 10803533.

It is an arithmetic number, because the mean of its divisors is an integer number (549661231728).

Almost surely, 223405120416220 is an apocalyptic number.

23405120416220 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 23405120416220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26383739122944).

23405120416220 is an abundant number, since it is smaller than the sum of its proper divisors (29362357829668).

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

23405120416220 is a wasteful number, since it uses less digits than its factorization.

23405120416220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443179 (or 2443177 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 23405120416220 its reverse (2261402150432), we get a palindrome (25666522566652).

The spelling of 23405120416220 in words is "twenty-three trillion, four hundred five billion, one hundred twenty million, four hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 563 740 851 1126 1702 2252 2815 3404 4255 5630 8510 11260 12949 17020 20831 25898 41662 51796 64745 83324 104155 129490 208310 258980 416620 479113 958226 1916452 2395565 2442547 4791130 4885094 9582260 9770188 12212735 24425470 48850940 56178581 90374239 112357162 180748478 224714324 280892905 361496956 451871195 561785810 903742390 1123571620 1375153961 1807484780 2078607497 2750307922 4157214994 5500615844 6875769805 8314429988 10393037485 13751539610 20786074970 27503079220 31628541103 41572149940 50880696557 63257082206 101761393114 126514164412 158142705515 203522786228 254403482785 316285411030 508806965570 632570822060 1017613931140 1170256020811 2340512041622 4681024083244 5851280104055 11702560208110 23405120416220