Search a number
-
+
401222310 = 235411372381
BaseRepresentation
bin10111111010100…
…010101010100110
31000221222012112120
4113322202222212
51310203103220
6103451330410
712641222226
oct2772425246
91027865476
10401222310
11196530295
12b2450a06
136517ba68
143b402086
1525355a40
hex17ea2aa6

401222310 has 64 divisors (see below), whose sum is σ = 994037184. Its totient is φ = 103577600.

The previous prime is 401222303. The next prime is 401222329. The reversal of 401222310 is 13222104.

It is a super-2 number, since 2×4012223102 = 321958684083472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401222310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167320 + ... + 169700.

It is an arithmetic number, because the mean of its divisors is an integer number (15531831).

Almost surely, 2401222310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401222310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497018592).

401222310 is an abundant number, since it is smaller than the sum of its proper divisors (592814874).

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

401222310 is a wasteful number, since it uses less digits than its factorization.

401222310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 401222310 is about 20030.5344411975. The cubic root of 401222310 is about 737.5560413222.

Adding to 401222310 its reverse (13222104), we get a palindrome (414444414).

The spelling of 401222310 in words is "four hundred one million, two hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 137 205 246 274 410 411 615 685 822 1230 1370 2055 2381 4110 4762 5617 7143 11234 11905 14286 16851 23810 28085 33702 35715 56170 71430 84255 97621 168510 195242 292863 326197 488105 585726 652394 976210 978591 1464315 1630985 1957182 2928630 3261970 4892955 9785910 13374077 26748154 40122231 66870385 80244462 133740770 200611155 401222310