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201413322 = 232119710487
BaseRepresentation
bin11000000000101…
…01001011001010
3112000222212010200
430000111023022
5403030211242
631552553030
74663661565
oct1400251312
9460885120
10201413322
11a37688a0
1257552776
13329606a6
141ca6d4dc
1512a3804c
hexc0152ca

201413322 has 48 divisors (see below), whose sum is σ = 481021632. Its totient is φ = 60399360.

The previous prime is 201413299. The next prime is 201413327. The reversal of 201413322 is 223314102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201413295 and 201413304.

It is not an unprimeable number, because it can be changed into a prime (201413327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13963 + ... + 24449.

It is an arithmetic number, because the mean of its divisors is an integer number (10021284).

Almost surely, 2201413322 is an apocalyptic number.

201413322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201413322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240510816).

201413322 is an abundant number, since it is smaller than the sum of its proper divisors (279608310).

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

201413322 is a wasteful number, since it uses less digits than its factorization.

201413322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10603 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 201413322 is about 14192.0161358420. The cubic root of 201413322 is about 586.1778417075.

Adding to 201413322 its reverse (223314102), we get a palindrome (424727424).

The spelling of 201413322 in words is "two hundred one million, four hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 6402 9603 10487 19206 20974 31461 62922 94383 115357 188766 230714 346071 692142 1017239 1038213 2034478 2076426 3051717 6103434 9155151 11189629 18310302 22379258 33568887 67137774 100706661 201413322