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2222040400 = 245210155001
BaseRepresentation
bin1000010001110001…
…1010010101010000
312201212011100101121
42010130122111100
514022320243100
61004254012024
7106031013616
oct20434322520
95655140347
102222040400
11a40313928
125201a7014
1329547a708
141711776b6
15d012251a
hex8471a550

2222040400 has 60 divisors (see below), whose sum is σ = 5391406044. Its totient is φ = 880000000.

The previous prime is 2222040397. The next prime is 2222040409. The reversal of 2222040400 is 40402222.

It can be written as a sum of positive squares in 6 ways, for example, as 69822736 + 2152217664 = 8356^2 + 46392^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12900 + ... + 67900.

Almost surely, 22222040400 is an apocalyptic number.

2222040400 is a gapful number since it is divisible by the number (20) 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 2222040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695703022).

2222040400 is an abundant number, since it is smaller than the sum of its proper divisors (3169365644).

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

2222040400 is a wasteful number, since it uses less digits than its factorization.

2222040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55120 (or 55109 counting only the distinct ones).

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

The square root of 2222040400 is about 47138.5235237592. The cubic root of 2222040400 is about 1304.9202889222.

Adding to 2222040400 its reverse (40402222), we get a palindrome (2262442622).

The spelling of 2222040400 in words is "two billion, two hundred twenty-two million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 55001 110002 220004 275005 440008 550010 880016 1100020 1375025 2200040 2750050 4400080 5500100 5555101 11000200 11110202 22000400 22220404 27775505 44440808 55551010 88881616 111102020 138877525 222204040 277755050 444408080 555510100 1111020200 2222040400