Search a number
-
+
351804222 = 23572111779
BaseRepresentation
bin10100111110000…
…001101100111110
3220111222111200000
4110332001230332
51210030213342
654524215130
711501200200
oct2476015476
9814874600
10351804222
111706477a0
129999a4a6
1357b684a3
1434a1a770
1520d4344c
hex14f81b3e

351804222 has 288 divisors, whose sum is σ = 1075576320. Its totient is φ = 84913920.

The previous prime is 351804217. The next prime is 351804223. The reversal of 351804222 is 222408153.

351804222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351804223) 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, 4453179 + ... + 4453257.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2351804222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351804222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

351804222 is an abundant number, since it is smaller than the sum of its proper divisors (723772098).

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

351804222 is a wasteful number, since it uses less digits than its factorization.

351804222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 351804222 is about 18756.4448123838. Note that the first 3 decimals coincide. The cubic root of 351804222 is about 705.9387404146.

The spelling of 351804222 in words is "three hundred fifty-one million, eight hundred four thousand, two hundred twenty-two".