Search a number
-
+
214424790 = 23567107997
BaseRepresentation
bin11001100011111…
…01110011010110
3112221110220111220
430301331303112
5414343043130
633135511210
75212403106
oct1461756326
9487426456
10214424790
11100045578
125b988506
1335567b98
1420699206
1513c58410
hexcc7dcd6

214424790 has 64 divisors (see below), whose sum is σ = 527710464. Its totient is φ = 55744128.

The previous prime is 214424783. The next prime is 214424797. The reversal of 214424790 is 97424412.

It is an interprime number because it is at equal distance from previous prime (214424783) and next prime (214424797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214424797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214572 + ... + 215568.

It is an arithmetic number, because the mean of its divisors is an integer number (8245476).

Almost surely, 2214424790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214424790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263855232).

214424790 is an abundant number, since it is smaller than the sum of its proper divisors (313285674).

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

214424790 is a wasteful number, since it uses less digits than its factorization.

214424790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181.

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

The square root of 214424790 is about 14643.2506637017. The cubic root of 214424790 is about 598.5379122821.

The spelling of 214424790 in words is "two hundred fourteen million, four hundred twenty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 67 107 134 201 214 321 335 402 535 642 670 997 1005 1070 1605 1994 2010 2991 3210 4985 5982 7169 9970 14338 14955 21507 29910 35845 43014 66799 71690 106679 107535 133598 200397 213358 215070 320037 333995 400794 533395 640074 667990 1001985 1066790 1600185 2003970 3200370 7147493 14294986 21442479 35737465 42884958 71474930 107212395 214424790