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216070656 = 293414773
BaseRepresentation
bin11001110000011…
…11101000000000
3120001120112012220
430320033220000
5420303230111
633235051040
75232366414
oct1470175000
9501515186
10216070656
11100a6a09a
1260440a80
13359c3079
14209a6d44
1513e80e06
hexce0fa00

216070656 has 160 divisors (see below), whose sum is σ = 610460928. Its totient is φ = 67829760.

The previous prime is 216070649. The next prime is 216070661. The reversal of 216070656 is 656070612.

216070656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2959836 + ... + 2959908.

Almost surely, 2216070656 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 216070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305230464).

216070656 is an abundant number, since it is smaller than the sum of its proper divisors (394390272).

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

216070656 is an equidigital number, since it uses as much as digits as its factorization.

216070656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 216070656 is about 14699.3420260908. The cubic root of 216070656 is about 600.0654150901.

The spelling of 216070656 in words is "two hundred sixteen million, seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 64 73 82 94 96 123 128 141 146 164 188 192 219 246 256 282 292 328 376 384 438 492 512 564 584 656 752 768 876 984 1128 1168 1312 1504 1536 1752 1927 1968 2256 2336 2624 2993 3008 3431 3504 3854 3936 4512 4672 5248 5781 5986 6016 6862 7008 7708 7872 8979 9024 9344 10293 10496 11562 11972 12032 13724 14016 15416 15744 17958 18048 18688 20586 20992 23124 23944 24064 27448 28032 30832 31488 35916 36096 37376 41172 46248 47888 54896 56064 61664 62976 71832 72192 82344 92496 95776 109792 112128 123328 140671 143664 164688 184992 191552 219584 246656 281342 287328 329376 369984 383104 422013 439168 493312 562684 574656 658752 739968 766208 844026 878336 986624 1125368 1149312 1317504 1479936 1532416 1688052 1756672 2250736 2298624 2635008 2959872 3376104 4501472 4597248 5270016 6752208 9002944 13504416 18005888 27008832 36011776 54017664 72023552 108035328 216070656