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2220040000 = 265455501
BaseRepresentation
bin1000010001010011…
…0001111101000000
312201201101201100201
42010110301331000
514021312240000
61004143054544
7106005012553
oct20424617500
95651351321
102220040000
11a3a177a02
1251b5a1454
13294c2a049
14170bb669a
15ced7996a
hex84531f40

2220040000 has 70 divisors (see below), whose sum is σ = 5505076874. Its totient is φ = 888000000.

The previous prime is 2220039961. The next prime is 2220040007. The reversal of 2220040000 is 400222.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 514019584 + 1706020416 = 22672^2 + 41304^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220040007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12250 + ... + 67750.

Almost surely, 22220040000 is an apocalyptic number.

2220040000 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 2220040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752538437).

2220040000 is an abundant number, since it is smaller than the sum of its proper divisors (3285036874).

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

2220040000 is an frugal number, since it uses more digits than its factorization.

2220040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55533 (or 55508 counting only the distinct ones).

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

The square root of 2220040000 is about 47117.3004320069. The cubic root of 2220040000 is about 1304.5285849329.

Adding to 2220040000 its reverse (400222), we get a palindrome (2220440222).

The spelling of 2220040000 in words is "two billion, two hundred twenty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 55501 111002 222004 277505 444008 555010 888016 1110020 1387525 1776032 2220040 2775050 3552064 4440080 5550100 6937625 8880160 11100200 13875250 17760320 22200400 27750500 34688125 44400800 55501000 69376250 88801600 111002000 138752500 222004000 277505000 444008000 555010000 1110020000 2220040000