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1442224500 = 223537313171
BaseRepresentation
bin101010111110110…
…1001100101110100
310201111210121002020
41111331221211310
510423202141000
6355035513140
750511464103
oct12575514564
93644717066
101442224500
11680109682
12342bb87b0
1319ca439a2
14d978403a
1586935ba0
hex55f69974

1442224500 has 96 divisors (see below), whose sum is σ = 4257611904. Its totient is φ = 379296000.

The previous prime is 1442224493. The next prime is 1442224519. The reversal of 1442224500 is 54222441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102915 + ... + 116085.

It is an arithmetic number, because the mean of its divisors is an integer number (44350124).

Almost surely, 21442224500 is an apocalyptic number.

1442224500 is a gapful number since it is divisible by the number (10) 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 1442224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128805952).

1442224500 is an abundant number, since it is smaller than the sum of its proper divisors (2815387404).

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

1442224500 is a wasteful number, since it uses less digits than its factorization.

1442224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13266 (or 13254 counting only the distinct ones).

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

The square root of 1442224500 is about 37976.6309722176. The cubic root of 1442224500 is about 1129.8244173373.

Adding to 1442224500 its reverse (54222441), we get a palindrome (1496446941).

The spelling of 1442224500 in words is "one billion, four hundred forty-two million, two hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 125 146 150 219 250 292 300 365 375 438 500 730 750 876 1095 1460 1500 1825 2190 3650 4380 5475 7300 9125 10950 13171 18250 21900 26342 27375 36500 39513 52684 54750 65855 79026 109500 131710 158052 197565 263420 329275 395130 658550 790260 961483 987825 1317100 1646375 1922966 1975650 2884449 3292750 3845932 3951300 4807415 4939125 5768898 6585500 9614830 9878250 11537796 14422245 19229660 19756500 24037075 28844490 48074150 57688980 72111225 96148300 120185375 144222450 240370750 288444900 360556125 480741500 721112250 1442224500