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10223444224 = 28717335591
BaseRepresentation
bin10011000010101110…
…10110000100000000
3222101111012202222101
421201113112010000
5131414200203344
64410243520144
7511226561560
oct114127260400
928344182871
1010223444224
11437695aa64
121b93989054
13c6c0927a6
146cdac8da0
153ec7e89d4
hex2615d6100

10223444224 has 72 divisors (see below), whose sum is σ = 24694201728. Its totient is φ = 4123729920.

The previous prime is 10223444201. The next prime is 10223444237. The reversal of 10223444224 is 42244432201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10223444192 and 10223444201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137332 + ... + 198259.

It is an arithmetic number, because the mean of its divisors is an integer number (342975024).

Almost surely, 210223444224 is an apocalyptic number.

10223444224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10223444224 is an abundant number, since it is smaller than the sum of its proper divisors (14470757504).

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

10223444224 is an equidigital number, since it uses as much as digits as its factorization.

10223444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335631 (or 335617 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 10223444224 its reverse (42244432201), we get a palindrome (52467876425).

The spelling of 10223444224 in words is "ten billion, two hundred twenty-three million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 30464 335591 671182 1342364 2349137 2684728 4698274 5369456 5705047 9396548 10738912 11410094 18793096 21477824 22820188 37586192 39935329 42955648 45640376 75172384 79870658 85911296 91280752 150344768 159741316 182561504 300689536 319482632 365123008 601379072 638965264 730246016 1277930528 1460492032 2555861056 5111722112 10223444224