Search a number
-
+
219074427 = 3211131721931
BaseRepresentation
bin11010000111011…
…00111101111011
3120021020010121200
431003230331323
5422040340202
633423305243
75300046645
oct1503547573
9507203550
10219074427
11102730950
126144b223
1336505350
1421149895
1514375e1c
hexd0ecf7b

219074427 has 144 divisors (see below), whose sum is σ = 429112320. Its totient is φ = 105753600.

The previous prime is 219074399. The next prime is 219074437. The reversal of 219074427 is 724470912.

It is not a de Polignac number, because 219074427 - 28 = 219074171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 219074391 and 219074400.

It is not an unprimeable number, because it can be changed into a prime (219074437) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7066902 + ... + 7066932.

Almost surely, 2219074427 is an apocalyptic number.

219074427 is a deficient number, since it is larger than the sum of its proper divisors (210037893).

219074427 is a wasteful number, since it uses less digits than its factorization.

219074427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 219074427 is about 14801.1630286272. The cubic root of 219074427 is about 602.8332913737.

The spelling of 219074427 in words is "two hundred nineteen million, seventy-four thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 13 17 19 31 33 39 51 57 93 99 117 143 153 171 187 209 221 247 279 289 323 341 403 429 527 561 589 627 663 741 867 969 1023 1209 1287 1581 1683 1767 1881 1989 2223 2431 2601 2717 2907 3069 3179 3553 3627 3757 4199 4433 4743 5301 5491 5797 6479 6851 7293 7657 8151 8959 9537 10013 10659 11271 12597 13299 16473 17391 19437 20553 21879 22971 24453 26877 28611 30039 31977 33813 37791 39897 41327 46189 49419 52173 58311 60401 61659 68913 71383 75361 80631 84227 90117 98549 110143 116467 123981 130169 138567 170221 181203 214149 226083 252681 295647 330429 349401 371943 390507 415701 510663 543609 642447 678249 758043 785213 886941 991287 1048203 1171521 1281137 1431859 1531989 1872431 2212873 2355639 3843411 4295577 5617293 6638619 7066917 11530233 12886731 16851879 19915857 24341603 73024809 219074427