Search a number
-
+
1440224300 = 225273832377
BaseRepresentation
bin101010111011000…
…0001010000101100
310201101000222022202
41111312001100230
510422144134200
6354525001032
750455463444
oct12566012054
93641028282
101440224300
11679a72919
123423b3178
1319c4c3438
14d93c3124
158668d1d5
hex55d8142c

1440224300 has 72 divisors (see below), whose sum is σ = 3207617616. Its totient is φ = 561116160.

The previous prime is 1440224299. The next prime is 1440224321. The reversal of 1440224300 is 34220441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604712 + ... + 607088.

Almost surely, 21440224300 is an apocalyptic number.

1440224300 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 1440224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603808808).

1440224300 is an abundant number, since it is smaller than the sum of its proper divisors (1767393316).

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

1440224300 is a wasteful number, since it uses less digits than its factorization.

1440224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1440224300 is about 37950.2872189395. The cubic root of 1440224300 is about 1129.3018633858.

Adding to 1440224300 its reverse (34220441), we get a palindrome (1474444741).

The spelling of 1440224300 in words is "one billion, four hundred forty million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 83 100 146 166 292 332 365 415 730 830 1460 1660 1825 2075 2377 3650 4150 4754 6059 7300 8300 9508 11885 12118 23770 24236 30295 47540 59425 60590 118850 121180 151475 173521 197291 237700 302950 347042 394582 605900 694084 789164 867605 986455 1735210 1972910 3470420 3945820 4338025 4932275 8676050 9864550 14402243 17352100 19729100 28804486 57608972 72011215 144022430 288044860 360056075 720112150 1440224300