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412234224 = 24317229717
BaseRepresentation
bin11000100100100…
…011000111110000
31001201200200001020
4120210203013300
51321012443344
6104523335440
713133635023
oct3044430760
91051620036
10412234224
111a1771746
12b6081580
136753609c
143ca6b1ba
15262cd719
hex189231f0

412234224 has 60 divisors (see below), whose sum is σ = 1131304824. Its totient is φ = 129324032.

The previous prime is 412234223. The next prime is 412234231. The reversal of 412234224 is 422432214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 412234194 and 412234203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412234223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 987 + ... + 28730.

Almost surely, 2412234224 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 412234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565652412).

412234224 is an abundant number, since it is smaller than the sum of its proper divisors (719070600).

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

412234224 is a wasteful number, since it uses less digits than its factorization.

412234224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29762 (or 29739 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 412234224 is about 20303.5520045139. The cubic root of 412234224 is about 744.2428678722.

Adding to 412234224 its reverse (422432214), we get a palindrome (834666438).

The spelling of 412234224 in words is "four hundred twelve million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 3468 4624 6936 13872 29717 59434 89151 118868 178302 237736 356604 475472 505189 713208 1010378 1426416 1515567 2020756 3031134 4041512 6062268 8083024 8588213 12124536 17176426 24249072 25764639 34352852 51529278 68705704 103058556 137411408 206117112 412234224