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1442002212 = 2232744312917
BaseRepresentation
bin101010111110011…
…0011010100100100
310201111101022011100
41111330303110210
510423123032322
6355031040100
750506550040
oct12574632444
93644338140
101442002212
1167aa77672
12342b10030
1319c996761
14d9727020
15868dedac
hex55f33524

1442002212 has 72 divisors (see below), whose sum is σ = 4175510976. Its totient is φ = 411038784.

The previous prime is 1442002201. The next prime is 1442002213. The reversal of 1442002212 is 2122002441.

1442002212 is a `hidden beast` number, since 1 + 442 + 0 + 0 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1442002213) 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, 105178 + ... + 118094.

It is an arithmetic number, because the mean of its divisors is an integer number (57993208).

Almost surely, 21442002212 is an apocalyptic number.

1442002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087755488).

1442002212 is an abundant number, since it is smaller than the sum of its proper divisors (2733508764).

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

1442002212 is a wasteful number, since it uses less digits than its factorization.

1442002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13377 (or 13372 counting only the distinct ones).

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

The square root of 1442002212 is about 37973.7042175240. The cubic root of 1442002212 is about 1129.7663682809.

Adding to 1442002212 its reverse (2122002441), we get a palindrome (3564004653).

The spelling of 1442002212 in words is "one billion, four hundred forty-two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 443 886 1329 1772 2658 3101 3987 5316 6202 7974 9303 12404 12917 15948 18606 25834 27909 37212 38751 51668 55818 77502 90419 111636 116253 155004 180838 232506 271257 361676 465012 542514 813771 1085028 1627542 3255084 5722231 11444462 17166693 22888924 34333386 40055617 51500079 68666772 80111234 103000158 120166851 160222468 206000316 240333702 360500553 480667404 721001106 1442002212