Search a number
-
+
2232200000 = 265511161
BaseRepresentation
bin1000010100001100…
…1010101101000000
312202120021111202002
42011003022231000
514032420400000
61005255443132
7106213246502
oct20503125500
95676244662
102232200000
11a46022998
125236864a8
132975c6b04
1417265dd72
15d0e7c8d5
hex850cab40

2232200000 has 84 divisors (see below), whose sum is σ = 5537044044. Its totient is φ = 892800000.

The previous prime is 2232199967. The next prime is 2232200029. The reversal of 2232200000 is 22322.

It can be written as a sum of positive squares in 6 ways, for example, as 2204490304 + 27709696 = 46952^2 + 5264^2 .

It is a super-3 number, since 3×22322000003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194420 + ... + 205580.

It is an arithmetic number, because the mean of its divisors is an integer number (65917191).

Almost surely, 22232200000 is an apocalyptic number.

2232200000 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 2232200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768522022).

2232200000 is an abundant number, since it is smaller than the sum of its proper divisors (3304844044).

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

2232200000 is an frugal number, since it uses more digits than its factorization.

2232200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11198 (or 11168 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2232200000 is about 47246.1638654399. The cubic root of 2232200000 is about 1306.9060485114.

Adding to 2232200000 its reverse (22322), we get a palindrome (2232222322).

2232200000 divided by its reverse (22322) gives a 5-th power (100000 = 105).

The spelling of 2232200000 in words is "two billion, two hundred thirty-two million, two hundred 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 3125 4000 5000 6250 8000 10000 11161 12500 20000 22322 25000 40000 44644 50000 55805 89288 100000 111610 178576 200000 223220 279025 357152 446440 558050 714304 892880 1116100 1395125 1785760 2232200 2790250 3571520 4464400 5580500 6975625 8928800 11161000 13951250 17857600 22322000 27902500 34878125 44644000 55805000 69756250 89288000 111610000 139512500 223220000 279025000 446440000 558050000 1116100000 2232200000