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10004204224 = 26767333181
BaseRepresentation
bin10010101000100110…
…00000101011000000
3221211012200020020101
421110103000223000
5130442034013344
64332412452144
7502625222110
oct112423005300
927735606211
1010004204224
114274126783
121b3247a054
13c3582cc91
146ac939040
153d843d9d4
hex2544c0ac0

10004204224 has 56 divisors (see below), whose sum is σ = 22722502688. Its totient is φ = 4281016320.

The previous prime is 10004204207. The next prime is 10004204237. The reversal of 10004204224 is 42240240001.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284914 + ... + 318094.

Almost surely, 210004204224 is an apocalyptic number.

10004204224 is a gapful number since it is divisible by the number (14) 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 10004204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361251344).

10004204224 is an abundant number, since it is smaller than the sum of its proper divisors (12718298464).

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

10004204224 is an equidigital number, since it uses as much as digits as its factorization.

10004204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33873 (or 33863 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 10004204224 its reverse (42240240001), we get a palindrome (52244444225).

The spelling of 10004204224 in words is "ten billion, four million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 673 1346 2692 4711 5384 9422 10768 18844 21536 33181 37688 43072 66362 75376 132724 150752 232267 265448 301504 464534 530896 929068 1061792 1858136 2123584 3716272 7432544 14865088 22330813 44661626 89323252 156315691 178646504 312631382 357293008 625262764 714586016 1250525528 1429172032 2501051056 5002102112 10004204224