Search a number
-
+
4420222224 = 24311172916981
BaseRepresentation
bin1000001110111011…
…10011110100010000
3102102001102112222020
410013131303310100
533023034102344
62010340411440
7214352161155
oct40735636420
912361375866
104420222224
111969111420
12a343a6b80
135559c3612
142dd0a022c
151ad0d0719
hex107773d10

4420222224 has 160 divisors (see below), whose sum is σ = 13645376640. Its totient is φ = 1217126400.

The previous prime is 4420222223. The next prime is 4420222231. The reversal of 4420222224 is 4222220244.

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 = 4420222194 and 4420222203.

It is not an unprimeable number, because it can be changed into a prime (4420222223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251814 + ... + 268794.

It is an arithmetic number, because the mean of its divisors is an integer number (85283604).

Almost surely, 24420222224 is an apocalyptic number.

4420222224 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 4420222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822688320).

4420222224 is an abundant number, since it is smaller than the sum of its proper divisors (9225154416).

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

4420222224 is a wasteful number, since it uses less digits than its factorization.

4420222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17049 (or 17043 counting only the distinct ones).

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

The square root of 4420222224 is about 66484.7518157359. The cubic root of 4420222224 is about 1641.1490836491.

Adding to 4420222224 its reverse (4222220244), we get a palindrome (8642442468).

The spelling of 4420222224 in words is "four billion, four hundred twenty million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 29 33 34 44 48 51 58 66 68 87 88 102 116 132 136 174 176 187 204 232 264 272 319 348 374 408 464 493 528 561 638 696 748 816 957 986 1122 1276 1392 1479 1496 1914 1972 2244 2552 2958 2992 3828 3944 4488 5104 5423 5916 7656 7888 8976 10846 11832 15312 16269 16981 21692 23664 32538 33962 43384 50943 65076 67924 86768 101886 130152 135848 186791 203772 260304 271696 288677 373582 407544 492449 560373 577354 747164 815088 866031 984898 1120746 1154708 1477347 1494328 1732062 1969796 2241492 2309416 2954694 2988656 3175447 3464124 3939592 4482984 4618832 5416939 5909388 6350894 6928248 7879184 8371633 8965968 9526341 10833878 11818776 12701788 13856496 16250817 16743266 19052682 21667756 23637552 25114899 25403576 32501634 33486532 38105364 43335512 50229798 50807152 65003268 66973064 76210728 86671024 92087963 100459596 130006536 133946128 152421456 184175926 200919192 260013072 276263889 368351852 401838384 552527778 736703704 1105055556 1473407408 2210111112 4420222224