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22400002000 = 245311200001
BaseRepresentation
bin10100110111001001…
…001110011111010000
32010211002120000001201
4110313021032133100
5331333400031000
614142421440544
71422043606165
oct246711163720
963732500051
1022400002000
119555243052
124411870154
13215c99446c
141126d4606c
158b17e296a
hex53724e7d0

22400002000 has 40 divisors (see below), whose sum is σ = 54163209672. Its totient is φ = 8960000000.

The previous prime is 22400001971. The next prime is 22400002049. The reversal of 22400002000 is 20000422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 441504144 + 21958497856 = 21012^2 + 148184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5598001 + ... + 5602000.

Almost surely, 222400002000 is an apocalyptic number.

22400002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22400002000 is an abundant number, since it is smaller than the sum of its proper divisors (31763207672).

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

22400002000 is a wasteful number, since it uses less digits than its factorization.

22400002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200024 (or 11200008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22400002000 its reverse (20000422), we get a palindrome (22420002422).

The spelling of 22400002000 in words is "twenty-two billion, four hundred million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11200001 22400002 44800004 56000005 89600008 112000010 179200016 224000020 280000025 448000040 560000050 896000080 1120000100 1400000125 2240000200 2800000250 4480000400 5600000500 11200001000 22400002000