Search a number
-
+
215255103240 = 233519691713649
BaseRepresentation
bin1100100001111000110…
…1000011011100001000
3202120121111110020001010
43020132031003130020
512011320301300430
6242515315523520
721360136121442
oct3103615033410
9676544406033
10215255103240
118331a992041
12358745b95a0
13173b5976698
14a5c014d492
1558ec879cb0
hex321e343708

215255103240 has 128 divisors (see below), whose sum is σ = 679901040000. Its totient is φ = 54368391168.

The previous prime is 215255103223. The next prime is 215255103253. The reversal of 215255103240 is 42301552512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 215255103198 and 215255103207.

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, 15763936 + ... + 15777584.

It is an arithmetic number, because the mean of its divisors is an integer number (5311726875).

Almost surely, 2215255103240 is an apocalyptic number.

215255103240 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 215255103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339950520000).

215255103240 is an abundant number, since it is smaller than the sum of its proper divisors (464645936760).

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

215255103240 is a wasteful number, since it uses less digits than its factorization.

215255103240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20599 (or 20595 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 215255103240 its reverse (42301552512), we get a palindrome (257556655752).

The spelling of 215255103240 in words is "two hundred fifteen billion, two hundred fifty-five million, one hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 6917 13649 13834 20751 27298 27668 34585 40947 41502 54596 55336 68245 69170 81894 83004 103755 109192 131423 136490 138340 163788 166008 204735 207510 259331 262846 272980 276680 327576 394269 409470 415020 518662 525692 545960 657115 777993 788538 818940 830040 1037324 1051384 1296655 1314230 1555986 1577076 1637880 1971345 2074648 2593310 2628460 3111972 3154152 3889965 3942690 5186620 5256920 6223944 7779930 7885380 10373240 15559860 15770760 31119720 94410133 188820266 283230399 377640532 472050665 566460798 755281064 944101330 1132921596 1416151995 1793792527 1888202660 2265843192 2832303990 3587585054 3776405320 5381377581 5664607980 7175170108 8968962635 10762755162 11329215960 14350340216 17937925270 21525510324 26906887905 35875850540 43051020648 53813775810 71751701080 107627551620 215255103240