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214745088 = 214317257
BaseRepresentation
bin11001100110011…
…00000000000000
3112222002011212210
430303030000000
5414433320323
633150422120
75215205655
oct1463140000
9488064783
10214745088
11100244188
125bb01940
133564a8cc
142073dc2c
1513cbd293
hexcccc000

214745088 has 120 divisors (see below), whose sum is σ = 608679792. Its totient is φ = 67108864.

The previous prime is 214745033. The next prime is 214745093. The reversal of 214745088 is 880547412.

It is a happy number.

It is a super-2 number, since 2×2147450882 = 92230905640255488, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is an unprimeable number.

In principle, a polygon with 214745088 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835456 + ... + 835712.

Almost surely, 2214745088 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 214745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304339896).

214745088 is an abundant number, since it is smaller than the sum of its proper divisors (393934704).

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

214745088 is an equidigital number, since it uses as much as digits as its factorization.

214745088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 214745088 is about 14654.1832935172. The cubic root of 214745088 is about 598.8357869187.

It can be divided in two parts, 21474 and 5088, that added together give a palindrome (26562).

The spelling of 214745088 in words is "two hundred fourteen million, seven hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 257 272 384 408 512 514 544 768 771 816 1024 1028 1088 1536 1542 1632 2048 2056 2176 3072 3084 3264 4096 4112 4352 4369 6144 6168 6528 8192 8224 8704 8738 12288 12336 13056 13107 16384 16448 17408 17476 24576 24672 26112 26214 32896 34816 34952 49152 49344 52224 52428 65792 69632 69904 98688 104448 104856 131584 139264 139808 197376 208896 209712 263168 278528 279616 394752 417792 419424 526336 559232 789504 835584 838848 1052672 1118464 1579008 1677696 2105344 2236928 3158016 3355392 4210688 4473856 6316032 6710784 8947712 12632064 13421568 17895424 26843136 35790848 53686272 71581696 107372544 214745088