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420024222 = 232192371747
BaseRepresentation
bin11001000010010…
…000111110011110
31002021100102220200
4121002100332132
51330011233342
6105402324330
713260101262
oct3102207636
91067312820
10420024222
111a6102462
12b87b96a6
1369032a57
143dad80a2
1526d1b94c
hex19090f9e

420024222 has 72 divisors (see below), whose sum is σ = 986994216. Its totient is φ = 128980512.

The previous prime is 420024217. The next prime is 420024233. The reversal of 420024222 is 222420024.

420024222 is a `hidden beast` number, since 420 + 0 + 24 + 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 = 420024195 and 420024204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239553 + ... + 241299.

It is an arithmetic number, because the mean of its divisors is an integer number (13708253).

Almost surely, 2420024222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420024222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493497108).

420024222 is an abundant number, since it is smaller than the sum of its proper divisors (566969994).

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

420024222 is a wasteful number, since it uses less digits than its factorization.

420024222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420024222 is about 20494.4924796883. The cubic root of 420024222 is about 748.9016349107.

Adding to 420024222 its reverse (222420024), we get a palindrome (642444246).

The spelling of 420024222 in words is "four hundred twenty million, twenty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 361 666 703 722 1083 1406 1747 2109 2166 3249 3494 4218 5241 6327 6498 10482 12654 13357 15723 26714 31446 33193 40071 64639 66386 80142 99579 120213 129278 193917 199158 240426 298737 387834 581751 597474 630667 1163502 1228141 1261334 1892001 2456282 3684423 3784002 5676003 7368846 11053269 11352006 22106538 23334679 46669358 70004037 140008074 210012111 420024222