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4421223224 = 23113115110733
BaseRepresentation
bin1000001111000011…
…01000001100111000
3102102010022102002022
410013201220030320
533023313120344
62010414054012
7214363530425
oct40741501470
912363272068
104421223224
1119697354a0
12a347aa308
13555c84122
142dd280d4c
151ad22c0ee
hex107868338

4421223224 has 64 divisors (see below), whose sum is σ = 9397831680. Its totient is φ = 1931760000.

The previous prime is 4421223223. The next prime is 4421223263. The reversal of 4421223224 is 4223221244.

It is a junction number, because it is equal to n+sod(n) for n = 4421223193 and 4421223202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4421223223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 406562 + ... + 417294.

It is an arithmetic number, because the mean of its divisors is an integer number (146841120).

Almost surely, 24421223224 is an apocalyptic number.

4421223224 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 4421223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698915840).

4421223224 is an abundant number, since it is smaller than the sum of its proper divisors (4976608456).

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

4421223224 is a wasteful number, since it uses less digits than its factorization.

4421223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10932 (or 10928 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 4421223224 is about 66492.2794315250. The cubic root of 4421223224 is about 1641.2729587363.

Adding to 4421223224 its reverse (4223221244), we get a palindrome (8644444468).

The spelling of 4421223224 in words is "four billion, four hundred twenty-one million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 151 248 302 341 604 682 1208 1364 1661 2728 3322 4681 6644 9362 10733 13288 18724 21466 37448 42932 51491 85864 102982 118063 205964 236126 332723 411928 472252 665446 944504 1330892 1620683 2661784 3241366 3659953 6482732 7319906 12965464 14639812 17827513 29279624 35655026 50241173 71310052 100482346 142620104 200964692 401929384 552652903 1105305806 2210611612 4421223224