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2243413400 = 235241475821
BaseRepresentation
bin1000010110110111…
…1100010110011000
312210100101012122012
42011231330112120
514043303212100
61010340045052
7106410461564
oct20555742630
95710335565
102243413400
11a51391768
12527393788
13299a21a67
14173d3c6a4
15d1e45135
hex85b7c598

2243413400 has 96 divisors (see below), whose sum is σ = 5457775680. Its totient is φ = 856704000.

The previous prime is 2243413387. The next prime is 2243413411. The reversal of 2243413400 is 43143422.

2243413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382490 + ... + 388310.

It is an arithmetic number, because the mean of its divisors is an integer number (56851830).

Almost surely, 22243413400 is an apocalyptic number.

2243413400 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 2243413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728887840).

2243413400 is an abundant number, since it is smaller than the sum of its proper divisors (3214362280).

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

2243413400 is a wasteful number, since it uses less digits than its factorization.

2243413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5925 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2243413400 is about 47364.6851567705. The cubic root of 2243413400 is about 1309.0907973543.

Adding to 2243413400 its reverse (43143422), we get a palindrome (2286556822).

The spelling of 2243413400 in words is "two billion, two hundred forty-three million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 47 50 82 94 100 164 188 200 205 235 328 376 410 470 820 940 1025 1175 1640 1880 1927 2050 2350 3854 4100 4700 5821 7708 8200 9400 9635 11642 15416 19270 23284 29105 38540 46568 48175 58210 77080 96350 116420 145525 192700 232840 238661 273587 291050 385400 477322 547174 582100 954644 1094348 1164200 1193305 1367935 1909288 2188696 2386610 2735870 4773220 5471740 5966525 6839675 9546440 10943480 11217067 11933050 13679350 22434134 23866100 27358700 44868268 47732200 54717400 56085335 89736536 112170670 224341340 280426675 448682680 560853350 1121706700 2243413400