Search a number
-
+
214943784 = 2331117471019
BaseRepresentation
bin11001100111111…
…00100000101000
3112222110021102220
430303330200220
5420011200114
633154554040
75216664156
oct1463744050
9488407386
10214943784
1110036a4a0
125bb98920
13356ba193
14207923d6
1513d0c0a9
hexccfc828

214943784 has 128 divisors (see below), whose sum is σ = 634521600. Its totient is φ = 59939840.

The previous prime is 214943783. The next prime is 214943791. The reversal of 214943784 is 487349412.

It is not an unprimeable number, because it can be changed into a prime (214943783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210427 + ... + 211445.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2214943784 is an apocalyptic number.

214943784 is a gapful number since it is divisible by the number (24) 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 214943784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317260800).

214943784 is an abundant number, since it is smaller than the sum of its proper divisors (419577816).

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

214943784 is a wasteful number, since it uses less digits than its factorization.

214943784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 214943784 is about 14660.9612236033. The cubic root of 214943784 is about 599.0204238100.

The spelling of 214943784 in words is "two hundred fourteen million, nine hundred forty-three thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 47 51 66 68 88 94 102 132 136 141 187 188 204 264 282 374 376 408 517 561 564 748 799 1019 1034 1122 1128 1496 1551 1598 2038 2068 2244 2397 3057 3102 3196 4076 4136 4488 4794 6114 6204 6392 8152 8789 9588 11209 12228 12408 17323 17578 19176 22418 24456 26367 33627 34646 35156 44836 47893 51969 52734 67254 69292 70312 89672 95786 103938 105468 134508 138584 143679 190553 191572 207876 210936 269016 287358 381106 383144 415752 526823 571659 574716 762212 814181 1053646 1143318 1149432 1524424 1580469 1628362 2107292 2286636 2442543 3160938 3256724 4214584 4573272 4885086 6321876 6513448 8955991 9770172 12643752 17911982 19540344 26867973 35823964 53735946 71647928 107471892 214943784