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1441220200 = 235276431601
BaseRepresentation
bin101010111100111…
…0100011001101000
310201102220120102221
41111321310121220
510422423021300
6355002203424
750500112110
oct12571643150
93642816387
101441220200
1167a593082
123427b3574
1319c781824
14d95a2040
15867d831a
hex55e74668

1441220200 has 96 divisors (see below), whose sum is σ = 3837879360. Its totient is φ = 493056000.

The previous prime is 1441220177. The next prime is 1441220201. The reversal of 1441220200 is 20221441.

It is not an unprimeable number, because it can be changed into a prime (1441220201) 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, 899400 + ... + 901000.

It is an arithmetic number, because the mean of its divisors is an integer number (39977910).

Almost surely, 21441220200 is an apocalyptic number.

1441220200 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 1441220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918939680).

1441220200 is an abundant number, since it is smaller than the sum of its proper divisors (2396659160).

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

1441220200 is a wasteful number, since it uses less digits than its factorization.

1441220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1441220200 is about 37963.4060642614. The cubic root of 1441220200 is about 1129.5621035425.

Adding to 1441220200 its reverse (20221441), we get a palindrome (1461441641).

The spelling of 1441220200 in words is "one billion, four hundred forty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 643 700 1286 1400 1601 2572 3202 3215 4501 5144 6404 6430 8005 9002 11207 12808 12860 16010 16075 18004 22414 22505 25720 32020 32150 36008 40025 44828 45010 56035 64040 64300 80050 89656 90020 112070 112525 128600 160100 180040 224140 225050 280175 320200 448280 450100 560350 900200 1029443 1120700 2058886 2241400 4117772 5147215 7206101 8235544 10294430 14412202 20588860 25736075 28824404 36030505 41177720 51472150 57648808 72061010 102944300 144122020 180152525 205888600 288244040 360305050 720610100 1441220200