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1422250400 = 25523748049
BaseRepresentation
bin101010011000101…
…1101000110100000
310200010012210202202
41110301131012200
510403044003100
6353043432332
750146633424
oct12461350640
93603183682
101422250400
1166a90685a
123383856a8
1319886c2ac
14d6c64b84
1584cdc7d5
hex54c5d1a0

1422250400 has 72 divisors (see below), whose sum is σ = 3565982700. Its totient is φ = 553512960.

The previous prime is 1422250391. The next prime is 1422250411. The reversal of 1422250400 is 40522241.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 476810896 + 945439504 = 21836^2 + 30748^2 .

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 11 ways as a sum of consecutive naturals, for example, 5576 + ... + 53624.

Almost surely, 21422250400 is an apocalyptic number.

1422250400 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 1422250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782991350).

1422250400 is an abundant number, since it is smaller than the sum of its proper divisors (2143732300).

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

1422250400 is a wasteful number, since it uses less digits than its factorization.

1422250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48106 (or 48093 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1422250400 is about 37712.7352495149. The cubic root of 1422250400 is about 1124.5843139131.

Adding to 1422250400 its reverse (40522241), we get a palindrome (1462772641).

The spelling of 1422250400 in words is "one billion, four hundred twenty-two million, two hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 296 370 400 592 740 800 925 1184 1480 1850 2960 3700 5920 7400 14800 29600 48049 96098 192196 240245 384392 480490 768784 960980 1201225 1537568 1777813 1921960 2402450 3555626 3843920 4804900 7111252 7687840 8889065 9609800 14222504 17778130 19219600 28445008 35556260 38439200 44445325 56890016 71112520 88890650 142225040 177781300 284450080 355562600 711125200 1422250400