Search a number
-
+
433420220 = 225374353257
BaseRepresentation
bin11001110101010…
…111011110111100
31010012120000202202
4121311113132330
51341423421340
6111001411032
713512003542
oct3165273674
91105500682
10433420220
11202722032
12101199a78
136ba4328c
14417c3d92
15280b5c15
hex19d577bc

433420220 has 96 divisors (see below), whose sum is σ = 978360768. Its totient is φ = 161021952.

The previous prime is 433420217. The next prime is 433420237. The reversal of 433420220 is 22024334.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 433420192 and 433420201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686332 + ... + 1686588.

It is an arithmetic number, because the mean of its divisors is an integer number (10191258).

Almost surely, 2433420220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489180384).

433420220 is an abundant number, since it is smaller than the sum of its proper divisors (544940548).

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

433420220 is a wasteful number, since it uses less digits than its factorization.

433420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 433420220 is about 20818.7468402880. The cubic root of 433420220 is about 756.7801335358.

Adding to 433420220 its reverse (22024334), we get a palindrome (455444554).

The spelling of 433420220 in words is "four hundred thirty-three million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 53 74 86 106 148 172 185 212 215 257 265 370 430 514 530 740 860 1028 1060 1285 1591 1961 2279 2570 3182 3922 4558 5140 6364 7844 7955 9116 9509 9805 11051 11395 13621 15910 19018 19610 22102 22790 27242 31820 38036 39220 44204 45580 47545 54484 55255 68105 84323 95090 110510 136210 168646 190180 221020 272420 337292 408887 421615 503977 585703 817774 843230 1007954 1171406 1635548 1686460 2015908 2044435 2342812 2519885 2928515 4088870 5039770 5857030 8177740 10079540 11714060 21671011 43342022 86684044 108355055 216710110 433420220