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442220212 = 227192932837
BaseRepresentation
bin11010010110111…
…011111010110100
31010211010010002101
4122112323322310
51401202021322
6111514151444
713646544520
oct3226737264
91124103071
10442220212
11207692655
12104122584
1370804885
1442a34d80
1528c53327
hex1a5bbeb4

442220212 has 48 divisors (see below), whose sum is σ = 934496640. Its totient is φ = 178872192.

The previous prime is 442220209. The next prime is 442220267. The reversal of 442220212 is 212022244.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 442220212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154458 + ... + 157294.

It is an arithmetic number, because the mean of its divisors is an integer number (19468680).

Almost surely, 2442220212 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 442220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467248320).

442220212 is an abundant number, since it is smaller than the sum of its proper divisors (492276428).

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

442220212 is a wasteful number, since it uses less digits than its factorization.

442220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 442220212 is about 21029.0325978158. The cubic root of 442220212 is about 761.8676434876.

Adding to 442220212 its reverse (212022244), we get a palindrome (654242456).

The spelling of 442220212 in words is "four hundred forty-two million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 293 532 586 1172 2051 2837 4102 5567 5674 8204 11134 11348 19859 22268 38969 39718 53903 77938 79436 107806 155876 215612 377321 754642 831241 1509284 1662482 3324964 5818687 11637374 15793579 23274748 31587158 63174316 110555053 221110106 442220212