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10004223204 = 22324134919421
BaseRepresentation
bin10010101000100110…
…00101010011100100
3221211012201012021100
421110103011103210
5130442040120304
64332413120100
7502625331333
oct112423052344
927735635240
1010004223204
114274139a68
121b32489030
13c35838801
146ac941d1a
153d8444439
hex2544c54e4

10004223204 has 72 divisors (see below), whose sum is σ = 25980809400. Its totient is φ = 3243916800.

The previous prime is 10004223193. The next prime is 10004223227. The reversal of 10004223204 is 40232240001.

It can be written as a sum of positive squares in 4 ways, for example, as 2762553600 + 7241669604 = 52560^2 + 85098^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505414 + ... + 524834.

It is an arithmetic number, because the mean of its divisors is an integer number (360844575).

Almost surely, 210004223204 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 10004223204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990404700).

10004223204 is an abundant number, since it is smaller than the sum of its proper divisors (15976586196).

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

10004223204 is a wasteful number, since it uses less digits than its factorization.

10004223204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19821 (or 19816 counting only the distinct ones).

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

Adding to 10004223204 its reverse (40232240001), we get a palindrome (50236463205).

The spelling of 10004223204 in words is "ten billion, four million, two hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 349 369 492 698 738 1047 1396 1476 2094 3141 4188 6282 12564 14309 19421 28618 38842 42927 57236 58263 77684 85854 116526 128781 171708 174789 233052 257562 349578 515124 699156 796261 1592522 2388783 3185044 4777566 6777929 7166349 9555132 13555858 14332698 20333787 27111716 28665396 40667574 61001361 81335148 122002722 244005444 277895089 555790178 833685267 1111580356 1667370534 2501055801 3334741068 5002111602 10004223204