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22133043400 = 2352138512709
BaseRepresentation
bin10100100111001110…
…110111000011001000
32010010111020002201011
4110213032313003020
5330312024342100
614100123533304
71412322523216
oct244716670310
963114202634
1022133043400
119428587106
12435838a234
132119594ab0
1410dd6d3cb6
1589815dbba
hex5273b70c8

22133043400 has 48 divisors (see below), whose sum is σ = 55417742100. Its totient is φ = 8172199680.

The previous prime is 22133043389. The next prime is 22133043403. The reversal of 22133043400 is 434033122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1685759364 + 20447284036 = 41058^2 + 142994^2 .

It is a super-2 number, since 2×221330434002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22133043403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4253755 + ... + 4258954.

Almost surely, 222133043400 is an apocalyptic number.

22133043400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133043400 is an abundant number, since it is smaller than the sum of its proper divisors (33284698700).

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

22133043400 is a wasteful number, since it uses less digits than its factorization.

22133043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512738 (or 8512729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22133043400 its reverse (434033122), we get a palindrome (22567076522).

The spelling of 22133043400 in words is "twenty-two billion, one hundred thirty-three million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 8512709 17025418 34050836 42563545 68101672 85127090 110665217 170254180 212817725 221330434 340508360 425635450 442660868 553326085 851270900 885321736 1106652170 1702541800 2213304340 2766630425 4426608680 5533260850 11066521700 22133043400