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10224310304 = 251325197919
BaseRepresentation
bin10011000010110101…
…01001100000100000
3222101112211210000102
421201122221200200
5131414410412204
64410314241532
7511240126565
oct114132514040
928345753012
1010224310304
1143773a172a
121b941262a8
13c6c306a70
146cdc7286c
153ec91a41e
hex2616a9820

10224310304 has 48 divisors (see below), whose sum is σ = 21764090880. Its totient is φ = 4700064000.

The previous prime is 10224310277. The next prime is 10224310321. The reversal of 10224310304 is 40301342201.

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, 55457 + ... + 153375.

It is an arithmetic number, because the mean of its divisors is an integer number (453418560).

Almost surely, 210224310304 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 10224310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10882045440).

10224310304 is an abundant number, since it is smaller than the sum of its proper divisors (11539780576).

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

10224310304 is a wasteful number, since it uses less digits than its factorization.

10224310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98193 (or 98185 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10224310304 its reverse (40301342201), we get a palindrome (50525652505).

The spelling of 10224310304 in words is "ten billion, two hundred twenty-four million, three hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 251 416 502 1004 2008 3263 4016 6526 8032 13052 26104 52208 97919 104416 195838 391676 783352 1272947 1566704 2545894 3133408 5091788 10183576 20367152 24577669 40734304 49155338 98310676 196621352 319509697 393242704 639019394 786485408 1278038788 2556077576 5112155152 10224310304