Search a number
-
+
214184496 = 243171991319
BaseRepresentation
bin11001100010000…
…11001000110000
3112221000200220010
430301003020300
5414312400441
633130414520
75210352411
oct1461031060
9487020803
10214184496
11aa9a0a89
125b891440
13354b26b6
1420635808
1513c0c116
hexcc43230

214184496 has 80 divisors (see below), whose sum is σ = 589248000. Its totient is φ = 66806784.

The previous prime is 214184489. The next prime is 214184519. The reversal of 214184496 is 694481412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161725 + ... + 163043.

It is an arithmetic number, because the mean of its divisors is an integer number (7365600).

Almost surely, 2214184496 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 214184496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624000).

214184496 is an abundant number, since it is smaller than the sum of its proper divisors (375063504).

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

214184496 is a wasteful number, since it uses less digits than its factorization.

214184496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 214184496 is about 14635.0434232359. The cubic root of 214184496 is about 598.3142459355.

The spelling of 214184496 in words is "two hundred fourteen million, one hundred eighty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 199 204 272 398 408 597 796 816 1194 1319 1592 2388 2638 3184 3383 3957 4776 5276 6766 7914 9552 10149 10552 13532 15828 20298 21104 22423 27064 31656 40596 44846 54128 63312 67269 81192 89692 134538 162384 179384 262481 269076 358768 524962 538152 787443 1049924 1076304 1574886 2099848 3149772 4199696 4462177 6299544 8924354 12599088 13386531 17848708 26773062 35697416 53546124 71394832 107092248 214184496