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4022224002240 = 263520357205817
BaseRepresentation
bin111010100001111111001…
…110111001110011000000
3112020112001201001222201020
4322201333032321303000
51011400003321032430
612315441215305440
7563411313624423
oct72417716716300
915215051058636
104022224002240
1113108a7654474
1254b64a81b280
132323a9189a12
14dc968b4d9ba
156e9620d4b10
hex3a87f3b9cc0

4022224002240 has 112 divisors (see below), whose sum is σ = 12771250588512. Its totient is φ = 1072535166976.

The previous prime is 4022224002239. The next prime is 4022224002241. The reversal of 4022224002240 is 422004222204.

It is an interprime number because it is at equal distance from previous prime (4022224002239) and next prime (4022224002241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4022224002240.

It is not an unprimeable number, because it can be changed into a prime (4022224002241) by changing a digit.

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, 19439812 + ... + 19645628.

Almost surely, 24022224002240 is an apocalyptic number.

4022224002240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022224002240 is an abundant number, since it is smaller than the sum of its proper divisors (8749026586272).

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

4022224002240 is a wasteful number, since it uses less digits than its factorization.

4022224002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226194 (or 226184 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4022224002240 its reverse (422004222204), we get a palindrome (4444228224444).

The spelling of 4022224002240 in words is "four trillion, twenty-two billion, two hundred twenty-four million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 20357 40714 61071 81428 101785 122142 162856 203570 205817 244284 305355 325712 407140 411634 488568 610710 617451 651424 814280 823268 977136 1029085 1221420 1234902 1302848 1628560 1646536 1954272 2058170 2442840 2469804 3087255 3257120 3293072 3908544 4116340 4885680 4939608 6174510 6514240 6586144 8232680 9771360 9879216 12349020 13172288 16465360 19542720 19758432 24698040 32930720 39516864 49396080 65861440 98792160 197584320 4189816669 8379633338 12569450007 16759266676 20949083345 25138900014 33518533352 41898166690 50277800028 62847250035 67037066704 83796333380 100555600056 125694500070 134074133408 167592666760 201111200112 251389000140 268148266816 335185333520 402222400224 502778000280 670370667040 804444800448 1005556000560 1340741334080 2011112001120 4022224002240