Search a number
-
+
214097424 = 24328315761
BaseRepresentation
bin11001100001011…
…01111000010000
3112220212021110020
430300231320100
5414302104144
633124503440
75206540512
oct1460557020
9486767406
10214097424
11aa941622
125b84ab80
1335481b88
1420611bb2
1513be1419
hexcc2de10

214097424 has 40 divisors (see below), whose sum is σ = 555074592. Its totient is φ = 71109120.

The previous prime is 214097419. The next prime is 214097437. The reversal of 214097424 is 424790412.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5704 + ... + 21464.

Almost surely, 2214097424 is an apocalyptic number.

214097424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214097424 is an abundant number, since it is smaller than the sum of its proper divisors (340977168).

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

214097424 is a wasteful number, since it uses less digits than its factorization.

214097424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16055 (or 16049 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 214097424 is about 14632.0683431974. The cubic root of 214097424 is about 598.2331577769.

The spelling of 214097424 in words is "two hundred fourteen million, ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 283 566 849 1132 1698 2264 3396 4528 6792 13584 15761 31522 47283 63044 94566 126088 189132 252176 378264 756528 4460363 8920726 13381089 17841452 26762178 35682904 53524356 71365808 107048712 214097424