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4022224310440 = 235758573245251
BaseRepresentation
bin111010100001111111010…
…000000101000010101000
3112020112001201122122111001
4322201333100011002220
51011400003410413230
612315441230044344
7563411316350110
oct72417720050250
915215051578431
104022224310440
1113108a7844a86
1254b64a9496b4
132323a926709b
14dc968bd0040
156e9621460ca
hex3a87f4050a8

4022224310440 has 64 divisors (see below), whose sum is σ = 10343081266560. Its totient is φ = 1379019168000.

The previous prime is 4022224310431. The next prime is 4022224310443. The reversal of 4022224310440 is 440134222204.

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 = 4022224310399 and 4022224310408.

It is not an unprimeable number, because it can be changed into a prime (4022224310443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16277815 + ... + 16523065.

It is an arithmetic number, because the mean of its divisors is an integer number (161610644790).

Almost surely, 24022224310440 is an apocalyptic number.

4022224310440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022224310440 is an abundant number, since it is smaller than the sum of its proper divisors (6320856956120).

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

4022224310440 is a wasteful number, since it uses less digits than its factorization.

4022224310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303842 (or 303838 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4022224310440 its reverse (440134222204), we get a palindrome (4462358532644).

The spelling of 4022224310440 in words is "four trillion, twenty-two billion, two hundred twenty-four million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 58573 117146 234292 245251 292865 410011 468584 490502 585730 820022 981004 1171460 1226255 1640044 1716757 1962008 2050055 2342920 2452510 3280088 3433514 4100110 4905020 6867028 8200220 8583785 9810040 13734056 16400440 17167570 34335140 68670280 14365086823 28730173646 57460347292 71825434115 100555607761 114920694584 143650868230 201111215522 287301736460 402222431044 502778038805 574603472920 804444862088 1005556077610 2011112155220 4022224310440