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2243423224 = 23717103137167
BaseRepresentation
bin1000010110110111…
…1110101111111000
312210100101201010001
42011231332233320
514043304020344
61010340202344
7106410532330
oct20555765770
95710351101
102243423224
11a51399089
125273993b4
13299a26383
14173d420c0
15d1e47ed4
hex85b7ebf8

2243423224 has 128 divisors (see below), whose sum is σ = 5208053760. Its totient is φ = 884256768.

The previous prime is 2243423201. The next prime is 2243423249. The reversal of 2243423224 is 4223243422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2243423192 and 2243423201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13433589 + ... + 13433755.

It is an arithmetic number, because the mean of its divisors is an integer number (40687920).

Almost surely, 22243423224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243423224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604026880).

2243423224 is an abundant number, since it is smaller than the sum of its proper divisors (2964630536).

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

2243423224 is a wasteful number, since it uses less digits than its factorization.

2243423224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its digits is 18432, while the sum is 28.

The square root of 2243423224 is about 47364.7888626140. The cubic root of 2243423224 is about 1309.0927082058.

Adding to 2243423224 its reverse (4223243422), we get a palindrome (6466666646).

The spelling of 2243423224 in words is "two billion, two hundred forty-three million, four hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 103 119 136 137 167 206 238 274 334 412 476 548 668 721 824 952 959 1096 1169 1336 1442 1751 1918 2329 2338 2839 2884 3502 3836 4658 4676 5678 5768 7004 7672 9316 9352 11356 12257 14008 14111 16303 17201 18632 19873 22712 22879 24514 28222 32606 34402 39746 45758 49028 56444 65212 68804 79492 91516 98056 98777 112888 120407 130424 137608 158984 160153 183032 197554 239887 240814 292417 320306 388943 395108 479774 481628 584834 640612 777886 790216 959548 963256 1169668 1281224 1555772 1679209 1919096 2046919 2339336 2356537 2722601 3111544 3358418 4093838 4713074 5445202 6716836 8187676 9426148 10890404 13433672 16375352 16495759 18852296 21780808 32991518 40061129 65983036 80122258 131966072 160244516 280427903 320489032 560855806 1121711612 2243423224