Search a number
-
+
1424211200 = 2852222533
BaseRepresentation
bin101010011100011…
…1011110100000000
310200020220102110222
41110320323310000
510404044224300
6353153442212
750202411146
oct12470736400
93606812428
101424211200
11670a25a55
12338b70368
131990a7929
14d7215596
1585078785
hex54e3bd00

1424211200 has 54 divisors (see below), whose sum is σ = 3525161094. Its totient is φ = 569681920.

The previous prime is 1424211169. The next prime is 1424211203. The reversal of 1424211200 is 21124241.

It can be written as a sum of positive squares in 3 ways, for example, as 217621504 + 1206589696 = 14752^2 + 34736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424211203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104867 + ... + 117666.

It is an arithmetic number, because the mean of its divisors is an integer number (65280761).

Almost surely, 21424211200 is an apocalyptic number.

1424211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424211200 is an abundant number, since it is smaller than the sum of its proper divisors (2100949894).

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

1424211200 is an equidigital number, since it uses as much as digits as its factorization.

1424211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222559 (or 222540 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1424211200 is about 37738.7228188766. The cubic root of 1424211200 is about 1125.1008831342.

Adding to 1424211200 its reverse (21124241), we get a palindrome (1445335441).

The spelling of 1424211200 in words is "one billion, four hundred twenty-four million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 222533 445066 890132 1112665 1780264 2225330 3560528 4450660 5563325 7121056 8901320 11126650 14242112 17802640 22253300 28484224 35605280 44506600 56968448 71210560 89013200 142421120 178026400 284842240 356052800 712105600 1424211200