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4222224512 = 27113781047
BaseRepresentation
bin1111101110101010…
…0000100010000000
3101220020212020011122
43323222200202000
532121342141022
61534544531412
7206426213312
oct37352404200
911806766148
104222224512
111877376850
1299a020b68
1352398a7cc
142c0a7d7b2
1519aa1e742
hexfbaa0880

4222224512 has 64 divisors (see below), whose sum is σ = 9424261440. Its totient is φ = 1867299840.

The previous prime is 4222224497. The next prime is 4222224527. The reversal of 4222224512 is 2154222224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4222224497) and next prime (4222224527).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11573 + ... + 92619.

It is an arithmetic number, because the mean of its divisors is an integer number (147254085).

Almost surely, 24222224512 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 4222224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712130720).

4222224512 is an abundant number, since it is smaller than the sum of its proper divisors (5202036928).

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

4222224512 is a wasteful number, since it uses less digits than its factorization.

4222224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81109 (or 81097 counting only the distinct ones).

The product of its digits is 5120, while the sum is 26.

The square root of 4222224512 is about 64978.6465848589. The cubic root of 4222224512 is about 1616.2694874560.

Adding to 4222224512 its reverse (2154222224), we get a palindrome (6376446736).

The spelling of 4222224512 in words is "four billion, two hundred twenty-two million, two hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 2368 3256 4736 6512 13024 26048 52096 81047 162094 324188 648376 891517 1296752 1783034 2593504 2998739 3566068 5187008 5997478 7132136 10374016 11994956 14264272 23989912 28528544 32986129 47979824 57057088 65972258 95959648 114114176 131944516 191919296 263889032 383838592 527778064 1055556128 2111112256 4222224512