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214061568 = 293743463
BaseRepresentation
bin11001100001001…
…01001000000000
3112220210110021020
430300211020000
5414244432233
633124025440
75206331130
oct1460451000
9486713236
10214061568
11aa917696
125b832280
133546b766
1420602ac0
1513bd59b3
hexcc25200

214061568 has 160 divisors (see below), whose sum is σ = 668338176. Its totient is φ = 59609088.

The previous prime is 214061563. The next prime is 214061591. The reversal of 214061568 is 865160412.

214061568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214061563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462105 + ... + 462567.

Almost surely, 2214061568 is an apocalyptic number.

214061568 is a gapful number since it is divisible by the number (28) 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 214061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334169088).

214061568 is an abundant number, since it is smaller than the sum of its proper divisors (454276608).

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

214061568 is an equidigital number, since it uses as much as digits as its factorization.

214061568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 214061568 is about 14630.8430379114. The cubic root of 214061568 is about 598.1997595147.

The spelling of 214061568 in words is "two hundred fourteen million, sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 384 448 463 512 516 602 672 688 768 896 903 926 1032 1204 1344 1376 1389 1536 1792 1806 1852 2064 2408 2688 2752 2778 3241 3584 3612 3704 4128 4816 5376 5504 5556 6482 7224 7408 8256 9632 9723 10752 11008 11112 12964 14448 14816 16512 19264 19446 19909 22016 22224 25928 28896 29632 33024 38528 38892 39818 44448 51856 57792 59264 59727 66048 77056 77784 79636 88896 103712 115584 118528 119454 139363 154112 155568 159272 177792 207424 231168 237056 238908 278726 311136 318544 355584 414848 418089 462336 477816 557452 622272 637088 711168 829696 836178 955632 1114904 1244544 1274176 1659392 1672356 1911264 2229808 2489088 2548352 3344712 3822528 4459616 4978176 5096704 6689424 7645056 8919232 10193408 13378848 15290112 17838464 26757696 30580224 35676928 53515392 71353856 107030784 214061568