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1422202000 = 24535313417
BaseRepresentation
bin101010011000101…
…0001010010010000
310200010010100101011
41110301101102100
510403040431000
6353042420304
750146342342
oct12461212220
93603110334
101422202000
1166a88345a
12338361694
1319885325b
14d6c51292
1584ccd2ba
hex54c51490

1422202000 has 80 divisors (see below), whose sum is σ = 3504030192. Its totient is φ = 558105600.

The previous prime is 1422201919. The next prime is 1422202027. The reversal of 1422202000 is 2022241.

It can be written as a sum of positive squares in 8 ways, for example, as 394101904 + 1028100096 = 19852^2 + 32064^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99292 + ... + 112708.

Almost surely, 21422202000 is an apocalyptic number.

1422202000 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 1422202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752015096).

1422202000 is an abundant number, since it is smaller than the sum of its proper divisors (2081828192).

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

1422202000 is a wasteful number, since it uses less digits than its factorization.

1422202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13493 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1422202000 is about 37712.0935510083. The cubic root of 1422202000 is about 1124.5715570179.

Adding to 1422202000 its reverse (2022241), we get a palindrome (1424224241).

The spelling of 1422202000 in words is "one billion, four hundred twenty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 13417 21200 26500 26834 53000 53668 67085 106000 107336 134170 214672 268340 335425 536680 670850 711101 1073360 1341700 1422202 1677125 2683400 2844404 3354250 3555505 5366800 5688808 6708500 7111010 11377616 13417000 14222020 17777525 26834000 28444040 35555050 56888080 71110100 88887625 142220200 177775250 284440400 355550500 711101000 1422202000