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400220000 = 255420011
BaseRepresentation
bin10111110110101…
…101111101100000
31000220002021121222
4113312231331200
51304424020000
6103414034212
712626546105
oct2766557540
91026067558
10400220000
11195a06234
12b2048968
1364bba78b
143b220aac
1525208a85
hex17dadf60

400220000 has 60 divisors (see below), whose sum is σ = 984650436. Its totient is φ = 160080000.

The previous prime is 400219979. The next prime is 400220003. The reversal of 400220000 is 22004.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 400220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400220003) 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, 9995 + ... + 30005.

Almost surely, 2400220000 is an apocalyptic number.

400220000 is a gapful number since it is divisible by the number (40) 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 400220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492325218).

400220000 is an abundant number, since it is smaller than the sum of its proper divisors (584430436).

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

400220000 is an equidigital number, since it uses as much as digits as its factorization.

400220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20041 (or 20018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 400220000 is about 20005.4992439579. The cubic root of 400220000 is about 736.9413561257.

Adding to 400220000 its reverse (22004), we get a palindrome (400242004).

The spelling of 400220000 in words is "four hundred million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 20011 40022 80044 100055 160088 200110 320176 400220 500275 640352 800440 1000550 1600880 2001100 2501375 3201760 4002200 5002750 8004400 10005500 12506875 16008800 20011000 25013750 40022000 50027500 80044000 100055000 200110000 400220000