Search a number
-
+
215243392 = 27713171087
BaseRepresentation
bin11001101010001…
…01101010000000
3120000000111102111
430311011222000
5420100242032
633205225104
75222352520
oct1465055200
9500014374
10215243392
11100554601
1260102194
1335793670
142082d680
1513d6ac47
hexcd45a80

215243392 has 128 divisors (see below), whose sum is σ = 559319040. Its totient is φ = 80068608.

The previous prime is 215243377. The next prime is 215243401. The reversal of 215243392 is 293342512.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197473 + ... + 198559.

It is an arithmetic number, because the mean of its divisors is an integer number (4369680).

Almost surely, 2215243392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215243392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279659520).

215243392 is an abundant number, since it is smaller than the sum of its proper divisors (344075648).

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

215243392 is a wasteful number, since it uses less digits than its factorization.

215243392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1126 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 215243392 is about 14671.1755493553. The cubic root of 215243392 is about 599.2986174607.

The spelling of 215243392 in words is "two hundred fifteen million, two hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 896 952 1087 1088 1456 1547 1664 1768 1904 2174 2176 2912 3094 3536 3808 4348 5824 6188 7072 7609 7616 8696 11648 12376 14131 14144 15218 15232 17392 18479 24752 28262 28288 30436 34784 36958 49504 56524 60872 69568 73916 98917 99008 113048 121744 129353 139136 147832 197834 198016 226096 240227 243488 258706 295664 395668 452192 480454 486976 517412 591328 791336 904384 960908 973952 1034824 1182656 1582672 1681589 1808768 1921816 2069648 2365312 3165344 3363178 3843632 4139296 6330688 6726356 7687264 8278592 12661376 13452712 15374528 16557184 26905424 30749056 53810848 107621696 215243392