Search a number
-
+
412124022 = 232195472203
BaseRepresentation
bin11000100100001…
…000001101110110
31001201111001212200
4120210020031312
51321000432042
6104521125330
713132665522
oct3044101566
91051431780
10412124022
111a16a6972
12b6029846
13674c7b8b
143ca3cd82
15262aac4c
hex18908376

412124022 has 48 divisors (see below), whose sum is σ = 942077760. Its totient is φ = 129847536.

The previous prime is 412124021. The next prime is 412124029. The reversal of 412124022 is 220421214.

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 = 412123986 and 412124004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412124021) 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, 185973 + ... + 188175.

It is an arithmetic number, because the mean of its divisors is an integer number (19626620).

Almost surely, 2412124022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412124022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471038880).

412124022 is an abundant number, since it is smaller than the sum of its proper divisors (529953738).

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

412124022 is a wasteful number, since it uses less digits than its factorization.

412124022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2774 counting only the distinct ones).

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

The square root of 412124022 is about 20300.8379630004. The cubic root of 412124022 is about 744.1765428258.

Adding to 412124022 its reverse (220421214), we get a palindrome (632545236).

The spelling of 412124022 in words is "four hundred twelve million, one hundred twenty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 547 1094 1641 2203 3282 4406 4923 6609 9846 10393 13218 19827 20786 31179 39654 41857 62358 83714 93537 125571 187074 251142 376713 753426 1205041 2410082 3615123 7230246 10845369 21690738 22895779 45791558 68687337 137374674 206062011 412124022