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1004223104 = 27109167431
BaseRepresentation
bin111011110110110…
…011101010000000
32120222121211010022
4323312303222000
54024040114404
6243351553012
733612520103
oct7366635200
92528554108
101004223104
11475948755
1224038b768
13130088471
149752a73a
155d2678be
hex3bdb3a80

1004223104 has 64 divisors (see below), whose sum is σ = 2035756800. Its totient is φ = 493378560.

The previous prime is 1004223091. The next prime is 1004223109. The reversal of 1004223104 is 4013224001.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1004223109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2329769 + ... + 2330199.

It is an arithmetic number, because the mean of its divisors is an integer number (31808700).

Almost surely, 21004223104 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 1004223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017878400).

1004223104 is an abundant number, since it is smaller than the sum of its proper divisors (1031533696).

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

1004223104 is a wasteful number, since it uses less digits than its factorization.

1004223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1004223104 is about 31689.4793898543. The cubic root of 1004223104 is about 1001.4057243465.

Adding to 1004223104 its reverse (4013224001), we get a palindrome (5017447105).

The spelling of 1004223104 in words is "one billion, four million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 109 128 167 218 334 431 436 668 862 872 1336 1724 1744 2672 3448 3488 5344 6896 6976 10688 13792 13952 18203 21376 27584 36406 46979 55168 71977 72812 93958 143954 145624 187916 287908 291248 375832 575816 582496 751664 1151632 1164992 1503328 2303264 2329984 3006656 4606528 6013312 7845493 9213056 15690986 31381972 62763944 125527888 251055776 502111552 1004223104