Search a number
-
+
352422100 = 225223732099
BaseRepresentation
bin10101000000011…
…000100011010100
3220120010220020101
4111000120203110
51210210001400
654545343444
711506352452
oct2500304324
9816126211
10352422100
11170a29a38
129a037b84
13580237b4
1434b3b9d2
1520e1656a
hex150188d4

352422100 has 72 divisors (see below), whose sum is σ = 809323200. Its totient is φ = 132929280.

The previous prime is 352422097. The next prime is 352422143. The reversal of 352422100 is 1224253.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166851 + ... + 168949.

It is an arithmetic number, because the mean of its divisors is an integer number (11240600).

Almost surely, 2352422100 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 352422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404661600).

352422100 is an abundant number, since it is smaller than the sum of its proper divisors (456901100).

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

352422100 is a wasteful number, since it uses less digits than its factorization.

352422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 352422100 is about 18772.9086718068. The cubic root of 352422100 is about 706.3517816084.

Adding to 352422100 its reverse (1224253), we get a palindrome (353646353).

The spelling of 352422100 in words is "three hundred fifty-two million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 73 92 100 115 146 230 292 365 460 575 730 1150 1460 1679 1825 2099 2300 3358 3650 4198 6716 7300 8395 8396 10495 16790 20990 33580 41975 41980 48277 52475 83950 96554 104950 153227 167900 193108 209900 241385 306454 482770 612908 766135 965540 1206925 1532270 2413850 3064540 3524221 3830675 4827700 7048442 7661350 14096884 15322700 17621105 35242210 70484420 88105525 176211050 352422100