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412222032 = 24323777369
BaseRepresentation
bin11000100100100…
…000001001010000
31001201200001022200
4120210200021100
51321012101112
6104523203200
713133554335
oct3044401120
91051601280
10412222032
111a1763572
12b6076500
1367530681
143ca6698c
15262c9cdc
hex18920250

412222032 has 60 divisors (see below), whose sum is σ = 1184844180. Its totient is φ = 133691904.

The previous prime is 412221941. The next prime is 412222039. The reversal of 412222032 is 230222214.

412222032 is a `hidden beast` number, since 412 + 2 + 220 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156350016 + 255872016 = 12504^2 + 15996^2 .

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 = 412221996 and 412222014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412222039) 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, 33357 + ... + 44012.

It is an arithmetic number, because the mean of its divisors is an integer number (19747403).

Almost surely, 2412222032 is an apocalyptic number.

It is an amenable number.

412222032 is an abundant number, since it is smaller than the sum of its proper divisors (772622148).

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

412222032 is a wasteful number, since it uses less digits than its factorization.

412222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77420 (or 77411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412222032 is about 20303.2517592626. The cubic root of 412222032 is about 744.2355307016.

Adding to 412222032 its reverse (230222214), we get a palindrome (642444246).

The spelling of 412222032 in words is "four hundred twelve million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 77369 154738 232107 309476 464214 618952 696321 928428 1237904 1392642 1856856 2785284 2862653 3713712 5570568 5725306 8587959 11141136 11450612 17175918 22901224 25763877 34351836 45802448 51527754 68703672 103055508 137407344 206111016 412222032