Search a number
-
+
215042656 = 25172943317
BaseRepresentation
bin11001101000101…
…00101001100000
3112222122022001211
430310110221200
5420022331111
633201035504
75220555343
oct1464245140
9488568054
10215042656
11100427804
1260025b94
133572319a
14207ba45a
1513d2b521
hexcd14a60

215042656 has 96 divisors (see below), whose sum is σ = 476007840. Its totient is φ = 95133696.

The previous prime is 215042651. The next prime is 215042687. The reversal of 215042656 is 656240512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215042651) by changing a digit.

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, 678210 + ... + 678526.

It is an arithmetic number, because the mean of its divisors is an integer number (4958415).

Almost surely, 2215042656 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 215042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238003920).

215042656 is an abundant number, since it is smaller than the sum of its proper divisors (260965184).

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

215042656 is a wasteful number, since it uses less digits than its factorization.

215042656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 215042656 is about 14664.3327840035. The cubic root of 215042656 is about 599.1122575404.

The spelling of 215042656 in words is "two hundred fifteen million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 29 32 34 43 58 68 86 116 136 172 232 272 317 344 464 493 544 634 688 731 928 986 1247 1268 1376 1462 1972 2494 2536 2924 3944 4988 5072 5389 5848 7888 9193 9976 10144 10778 11696 13631 15776 18386 19952 21199 21556 23392 27262 36772 39904 42398 43112 54524 73544 84796 86224 109048 147088 156281 169592 172448 218096 231727 294176 312562 339184 395299 436192 463454 625124 678368 790598 926908 1250248 1581196 1853816 2500496 3162392 3707632 5000992 6324784 6720083 7415264 12649568 13440166 26880332 53760664 107521328 215042656