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10304002224 = 2434101223353
BaseRepresentation
bin10011001100010101…
…01001100010110000
3222121002210112210000
421212022221202300
5132100311032344
64422242310000
7513225400545
oct114612514260
928532715700
1010304002224
11440838241a
121bb6958300
13c82989b49
146da698bcc
1540490ca69
hex2662a98b0

10304002224 has 200 divisors, whose sum is σ = 30338808192. Its totient is φ = 3375820800.

The previous prime is 10304002217. The next prime is 10304002249. The reversal of 10304002224 is 42220040301.

10304002224 is a `hidden beast` number, since 10 + 30 + 400 + 2 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10304002197 and 10304002206.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29189632 + ... + 29189984.

Almost surely, 210304002224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169404096).

10304002224 is an abundant number, since it is smaller than the sum of its proper divisors (20034805968).

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

10304002224 is a wasteful number, since it uses less digits than its factorization.

10304002224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10304002224 its reverse (42220040301), we get a palindrome (52524042525).

The spelling of 10304002224 in words is "ten billion, three hundred four million, two thousand, two hundred twenty-four".