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4034122224 = 243118985847
BaseRepresentation
bin1111000001110011…
…1101000111110000
3101102010220122100020
43300130331013300
531230213402344
61504145123440
7201653321166
oct36034750760
911363818306
104034122224
11179017a810
12947029580
134c3a0aa92
142a3ab7236
15189265719
hexf073d1f0

4034122224 has 80 divisors (see below), whose sum is σ = 11496764160. Its totient is φ = 1208711680.

The previous prime is 4034122223. The next prime is 4034122243. The reversal of 4034122224 is 4222214304.

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

It is a junction number, because it is equal to n+sod(n) for n = 4034122194 and 4034122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034122223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4069 + ... + 89915.

It is an arithmetic number, because the mean of its divisors is an integer number (143709552).

Almost surely, 24034122224 is an apocalyptic number.

4034122224 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 4034122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748382080).

4034122224 is an abundant number, since it is smaller than the sum of its proper divisors (7462641936).

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

4034122224 is a wasteful number, since it uses less digits than its factorization.

4034122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85958 (or 85952 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4034122224 is about 63514.7402104425. The cubic root of 4034122224 is about 1591.9020818878.

Adding to 4034122224 its reverse (4222214304), we get a palindrome (8256336528).

The spelling of 4034122224 in words is "four billion, thirty-four million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 356 528 534 712 979 1068 1424 1958 2136 2937 3916 4272 5874 7832 11748 15664 23496 46992 85847 171694 257541 343388 515082 686776 944317 1030164 1373552 1888634 2060328 2832951 3777268 4120656 5665902 7554536 7640383 11331804 15109072 15280766 22663608 22921149 30561532 45327216 45842298 61123064 84044213 91684596 122246128 168088426 183369192 252132639 336176852 366738384 504265278 672353704 1008530556 1344707408 2017061112 4034122224