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413031222 = 232372812207
BaseRepresentation
bin11000100111100…
…101101100110110
31001210012011022200
4120213211230312
51321213444342
6104552405330
713143464442
oct3047455466
91053164280
10413031222
111a216651a
12b63a6846
1367754a96
143cbd7822
15263d994c
hex189e5b36

413031222 has 48 divisors (see below), whose sum is σ = 922776192. Its totient is φ = 133418880.

The previous prime is 413031187. The next prime is 413031239. The reversal of 413031222 is 222130314.

413031222 is a `hidden beast` number, since 413 + 0 + 31 + 222 = 666.

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 = 413031195 and 413031204.

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, 186043 + ... + 188249.

It is an arithmetic number, because the mean of its divisors is an integer number (19224504).

Almost surely, 2413031222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413031222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461388096).

413031222 is an abundant number, since it is smaller than the sum of its proper divisors (509744970).

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

413031222 is a wasteful number, since it uses less digits than its factorization.

413031222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2530 counting only the distinct ones).

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

The square root of 413031222 is about 20323.1695854756. The cubic root of 413031222 is about 744.7221894071.

Adding to 413031222 its reverse (222130314), we get a palindrome (635161536).

The spelling of 413031222 in words is "four hundred thirteen million, thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 281 333 562 666 843 1686 2207 2529 4414 5058 6621 10397 13242 19863 20794 31191 39726 62382 81659 93573 163318 187146 244977 489954 620167 734931 1240334 1469862 1860501 3721002 5581503 11163006 22946179 45892358 68838537 137677074 206515611 413031222