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4422000400 = 245211055001
BaseRepresentation
bin1000001111001001…
…00101111100010000
3102102011202220011121
410013210211330100
533024013003100
62010442452024
7214403245306
oct40744457420
912364686147
104422000400
11196a116394
12a34b04014
13556196aac
142dd404276
151ad33251a
hex107925f10

4422000400 has 30 divisors (see below), whose sum is σ = 10623856922. Its totient is φ = 1768800000.

The previous prime is 4422000391. The next prime is 4422000403. The reversal of 4422000400 is 40002244.

It can be written as a sum of positive squares in 3 ways, for example, as 33732864 + 4388267536 = 5808^2 + 66244^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4422000403) 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, 5527101 + ... + 5527900.

Almost surely, 24422000400 is an apocalyptic number.

4422000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4422000400 is an abundant number, since it is smaller than the sum of its proper divisors (6201856522).

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

4422000400 is a wasteful number, since it uses less digits than its factorization.

4422000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11055019 (or 11055008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4422000400 is about 66498.1232817889. The cubic root of 4422000400 is about 1641.3691224113.

Adding to 4422000400 its reverse (40002244), we get a palindrome (4462002644).

The spelling of 4422000400 in words is "four billion, four hundred twenty-two million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 11055001 22110002 44220004 55275005 88440008 110550010 176880016 221100020 276375025 442200040 552750050 884400080 1105500100 2211000200 4422000400