Search a number
-
+
216231520 = 2554353593
BaseRepresentation
bin11001110001101…
…10111001100000
3120001212200212211
430320312321200
5420323402040
633242331504
75233636411
oct1470667140
9501780784
10216231520
11101069a3a
12604b9b94
1335a4b35b
1420a09808
1513eb38ea
hexce36e60

216231520 has 96 divisors (see below), whose sum is σ = 533488032. Its totient is φ = 82747392.

The previous prime is 216231503. The next prime is 216231539. The reversal of 216231520 is 25132612.

216231520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216231491 and 216231500.

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, 364344 + ... + 364936.

It is an arithmetic number, because the mean of its divisors is an integer number (5557167).

Almost surely, 2216231520 is an apocalyptic number.

216231520 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 216231520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266744016).

216231520 is an abundant number, since it is smaller than the sum of its proper divisors (317256512).

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

216231520 is a wasteful number, since it uses less digits than its factorization.

216231520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 216231520 is about 14704.8128175778. The cubic root of 216231520 is about 600.2142938249.

The spelling of 216231520 in words is "two hundred sixteen million, two hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 53 80 86 106 160 172 212 215 265 344 424 430 530 593 688 848 860 1060 1186 1376 1696 1720 2120 2279 2372 2965 3440 4240 4558 4744 5930 6880 8480 9116 9488 11395 11860 18232 18976 22790 23720 25499 31429 36464 45580 47440 50998 62858 72928 91160 94880 101996 125716 127495 157145 182320 203992 251432 254990 314290 364640 407984 502864 509980 628580 815968 1005728 1019960 1257160 1351447 2039920 2514320 2702894 4079840 5028640 5405788 6757235 10811576 13514470 21623152 27028940 43246304 54057880 108115760 216231520