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22143400 = 2352532089
BaseRepresentation
bin101010001111…
…0000110101000
31112200000000221
41110132012220
521132042100
62110335424
7356134006
oct124360650
945600027
1022143400
1111554734
1274ba574
134783c06
142d25a76
151e2601a
hex151e1a8

22143400 has 48 divisors (see below), whose sum is σ = 52479900. Its totient is φ = 8686080.

The previous prime is 22143397. The next prime is 22143421. The reversal of 22143400 is 434122.

It can be written as a sum of positive squares in 6 ways, for example, as 15163236 + 6980164 = 3894^2 + 2642^2 .

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, 9556 + ... + 11644.

Almost surely, 222143400 is an apocalyptic number.

22143400 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 22143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26239950).

22143400 is an abundant number, since it is smaller than the sum of its proper divisors (30336500).

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

22143400 is a wasteful number, since it uses less digits than its factorization.

22143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22143400 is about 4705.6774220084. The cubic root of 22143400 is about 280.8114217912.

Adding to 22143400 its reverse (434122), we get a palindrome (22577522).

The spelling of 22143400 in words is "twenty-two million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2089 2120 2650 4178 5300 8356 10445 10600 16712 20890 41780 52225 83560 104450 110717 208900 221434 417800 442868 553585 885736 1107170 2214340 2767925 4428680 5535850 11071700 22143400