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224143404440 = 23561215342667
BaseRepresentation
bin1101000010111111111…
…1001110110110011000
3210102112221100201002212
43100233333032312120
512133021202420230
6250545311014252
722123324334144
oct3205777166630
9712487321085
10224143404440
118707112130a
123753520a388
13181a12482c7
14abc47aa224
155c6cd40895
hex342ffced98

224143404440 has 64 divisors (see below), whose sum is σ = 512840345760. Its totient is φ = 88144542720.

The previous prime is 224143404437. The next prime is 224143404451. The reversal of 224143404440 is 44404341422.

It is a junction number, because it is equal to n+sod(n) for n = 224143404397 and 224143404406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5231987 + ... + 5274653.

Almost surely, 2224143404440 is an apocalyptic number.

224143404440 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 224143404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256420172880).

224143404440 is an abundant number, since it is smaller than the sum of its proper divisors (288696941320).

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

224143404440 is a wasteful number, since it uses less digits than its factorization.

224143404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44892 (or 44888 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 224143404440 its reverse (44404341422), we get a palindrome (268547745862).

The spelling of 224143404440 in words is "two hundred twenty-four billion, one hundred forty-three million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2153 2440 4306 8612 10765 17224 21530 42667 43060 85334 86120 131333 170668 213335 262666 341336 426670 525332 656665 853340 1050664 1313330 1706680 2602687 2626660 5205374 5253320 10410748 13013435 20821496 26026870 52053740 91862051 104107480 183724102 367448204 459310255 734896408 918620510 1837241020 3674482040 5603585111 11207170222 22414340444 28017925555 44828680888 56035851110 112071702220 224143404440