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231720480 = 2533553639
BaseRepresentation
bin11011100111111…
…00011000100000
3121011000121202000
431303330120200
5433310023410
634554324000
75512406625
oct1563743040
9534017660
10231720480
11109889032
1265729600
1339012414
1422abc34c
1515522dc0
hexdcfc620

231720480 has 96 divisors (see below), whose sum is σ = 811036800. Its totient is φ = 61790976.

The previous prime is 231720431. The next prime is 231720493. The reversal of 231720480 is 84027132.

231720480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22500 + ... + 31139.

It is an arithmetic number, because the mean of its divisors is an integer number (8448300).

Almost surely, 2231720480 is an apocalyptic number.

231720480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231720480 is an abundant number, since it is smaller than the sum of its proper divisors (579316320).

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

231720480 is a wasteful number, since it uses less digits than its factorization.

231720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53663 (or 53649 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 231720480 is about 15222.3677527512. The cubic root of 231720480 is about 614.2164918263.

The spelling of 231720480 in words is "two hundred thirty-one million, seven hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 53639 107278 160917 214556 268195 321834 429112 482751 536390 643668 804585 858224 965502 1072780 1287336 1448253 1609170 1716448 1931004 2145560 2413755 2574672 2896506 3218340 3862008 4291120 4827510 5149344 5793012 6436680 7241265 7724016 8582240 9655020 11586024 12873360 14482530 15448032 19310040 23172048 25746720 28965060 38620080 46344096 57930120 77240160 115860240 231720480