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1442225214 = 232313078419
BaseRepresentation
bin101010111110110…
…1001110000111110
310201111210122001200
41111331221300332
510423202201324
6355035520330
750511466143
oct12575516076
93644718050
101442225214
1168010a171
12342bb90a6
1319ca44101
14d97843ca
1586935ec9
hex55f69c3e

1442225214 has 48 divisors (see below), whose sum is σ = 3236513280. Its totient is φ = 463663440.

The previous prime is 1442225177. The next prime is 1442225231. The reversal of 1442225214 is 4125222441.

It is a happy number.

1442225214 is a `hidden beast` number, since 1 + 4 + 422 + 25 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167097 + ... + 175515.

It is an arithmetic number, because the mean of its divisors is an integer number (67427360).

Almost surely, 21442225214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442225214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618256640).

1442225214 is an abundant number, since it is smaller than the sum of its proper divisors (1794288066).

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

1442225214 is a wasteful number, since it uses less digits than its factorization.

1442225214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8762 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 1442225214 is about 37976.6403727344. The cubic root of 1442225214 is about 1129.8246037842.

Adding to 1442225214 its reverse (4125222441), we get a palindrome (5567447655).

The spelling of 1442225214 in words is "one billion, four hundred forty-two million, two hundred twenty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 307 558 614 921 1842 2763 5526 8419 9517 16838 19034 25257 28551 50514 57102 75771 85653 151542 171306 260989 521978 782967 1565934 2348901 2584633 4697802 5169266 7753899 15507798 23261697 46523394 80123623 160247246 240370869 480741738 721112607 1442225214