Search a number
-
+
433220214 = 237171993049
BaseRepresentation
bin11001110100100…
…110101001110110
31010012011212102010
4121310212221312
51341401021324
6110553225050
713510211460
oct3164465166
91105155363
10433220214
112025a5839
12101102186
136b9a322b
1441771130
1528076829
hex19d26a76

433220214 has 64 divisors (see below), whose sum is σ = 1054080000. Its totient is φ = 115872768.

The previous prime is 433220189. The next prime is 433220219. The reversal of 433220214 is 412022334.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433220219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140562 + ... + 143610.

It is an arithmetic number, because the mean of its divisors is an integer number (16470000).

Almost surely, 2433220214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433220214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527040000).

433220214 is an abundant number, since it is smaller than the sum of its proper divisors (620859786).

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

433220214 is a wasteful number, since it uses less digits than its factorization.

433220214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 433220214 is about 20813.9427788202. The cubic root of 433220214 is about 756.6637077603.

Adding to 433220214 its reverse (412022334), we get a palindrome (845242548).

The spelling of 433220214 in words is "four hundred thirty-three million, two hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 199 238 357 398 597 714 1194 1393 2786 3049 3383 4179 6098 6766 8358 9147 10149 18294 20298 21343 23681 42686 47362 51833 64029 71043 103666 128058 142086 155499 310998 362831 606751 725662 1088493 1213502 1820253 2176986 3640506 4247257 8494514 10314767 12741771 20629534 25483542 30944301 61888602 72203369 144406738 216610107 433220214