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442214250 = 23534611279
BaseRepresentation
bin11010010110111…
…010011101101010
31010211002210220120
4122112322131222
51401201324000
6111514104110
713646521242
oct3226723552
91124083816
10442214250
11207689125
1210411b036
1370801c4a
1442a32b22
1528c516a0
hex1a5ba76a

442214250 has 64 divisors (see below), whose sum is σ = 1107025920. Its totient is φ = 117576000.

The previous prime is 442214239. The next prime is 442214257. The reversal of 442214250 is 52412244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442214250.

It is not an unprimeable number, because it can be changed into a prime (442214257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345111 + ... + 346389.

It is an arithmetic number, because the mean of its divisors is an integer number (17297280).

Almost surely, 2442214250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442214250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553512960).

442214250 is an abundant number, since it is smaller than the sum of its proper divisors (664811670).

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

442214250 is a wasteful number, since it uses less digits than its factorization.

442214250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 442214250 is about 21028.8908409360. The cubic root of 442214250 is about 761.8642196464.

Adding to 442214250 its reverse (52412244), we get a palindrome (494626494).

The spelling of 442214250 in words is "four hundred forty-two million, two hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 461 750 922 1279 1383 2305 2558 2766 3837 4610 6395 6915 7674 11525 12790 13830 19185 23050 31975 34575 38370 57625 63950 69150 95925 115250 159875 172875 191850 319750 345750 479625 589619 959250 1179238 1768857 2948095 3537714 5896190 8844285 14740475 17688570 29480950 44221425 73702375 88442850 147404750 221107125 442214250