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4012222104 = 2332116775611
BaseRepresentation
bin1110111100100101…
…1010011010011000
3101100121201000000200
43233021122122120
531204112101404
61502043502200
7201266216352
oct35711323230
911317630020
104012222104
111779881940
1293b827960
134bc310827
142a0c160d2
1518738b839
hexef25a698

4012222104 has 96 divisors (see below), whose sum is σ = 12031381440. Its totient is φ = 1197662400.

The previous prime is 4012222091. The next prime is 4012222111.

4012222104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15259 + ... + 90869.

It is an arithmetic number, because the mean of its divisors is an integer number (125326890).

Almost surely, 24012222104 is an apocalyptic number.

4012222104 is a gapful number since it is divisible by the number (44) 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 4012222104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015690720).

4012222104 is an abundant number, since it is smaller than the sum of its proper divisors (8019159336).

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

4012222104 is a wasteful number, since it uses less digits than its factorization.

4012222104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75701 (or 75694 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4012222104 is about 63342.1037225636. The cubic root of 4012222104 is about 1589.0161897805.

It can be divided in two parts, 40122 and 22104, that added together give a palindrome (62226).

The spelling of 4012222104 in words is "four billion, twelve million, two hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1608 2211 2412 2948 4422 4824 5896 6633 8844 13266 17688 26532 53064 75611 151222 226833 302444 453666 604888 680499 831721 907332 1360998 1663442 1814664 2495163 2721996 3326884 4990326 5065937 5443992 6653768 7485489 9980652 10131874 14970978 15197811 19961304 20263748 29941956 30395622 40527496 45593433 55725307 59883912 60791244 91186866 111450614 121582488 167175921 182373732 222901228 334351842 364747464 445802456 501527763 668703684 1003055526 1337407368 2006111052 4012222104