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412222410 = 23251012449
BaseRepresentation
bin11000100100100…
…000001111001010
31001201200001211200
4120210200033022
51321012104120
6104523205030
713133555415
oct3044401712
91051601750
10412222410
111a1763886
12b6076776
13675308b2
143ca66b7c
15262c9e90
hex189203ca

412222410 has 72 divisors (see below), whose sum is σ = 1084905900. Its totient is φ = 108595200.

The previous prime is 412222387. The next prime is 412222411. The reversal of 412222410 is 14222214.

It can be written as a sum of positive squares in 6 ways, for example, as 393585921 + 18636489 = 19839^2 + 4317^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412222411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 917866 + ... + 918314.

Almost surely, 2412222410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412222410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542452950).

412222410 is an abundant number, since it is smaller than the sum of its proper divisors (672683490).

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

412222410 is a wasteful number, since it uses less digits than its factorization.

412222410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412222410 is about 20303.2610681142. The cubic root of 412222410 is about 744.2357581850.

Adding to 412222410 its reverse (14222214), we get a palindrome (426444624).

The spelling of 412222410 in words is "four hundred twelve million, two hundred twenty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 449 505 606 898 909 1010 1347 1515 1818 2245 2694 3030 4041 4490 4545 6735 8082 9090 10201 13470 20205 20402 30603 40410 45349 51005 61206 90698 91809 102010 136047 153015 183618 226745 272094 306030 408141 453490 459045 680235 816282 918090 1360470 2040705 4081410 4580249 9160498 13740747 22901245 27481494 41222241 45802490 68703735 82444482 137407470 206111205 412222410