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22845323904 = 2731311340499
BaseRepresentation
bin10101010001101011…
…111111101010000000
32011222010111200212120
4111101223333222000
5333241400331104
614254530324240
71436062022604
oct252153775200
964863450776
1022845323904
119763653a87
124516a29680
132201013a50
14116a147504
158da959cd9
hex551affa80

22845323904 has 128 divisors (see below), whose sum is σ = 65930760000. Its totient is φ = 6966951936.

The previous prime is 22845323903. The next prime is 22845323909. The reversal of 22845323904 is 40932354822.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (22845323903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543847 + ... + 584345.

Almost surely, 222845323904 is an apocalyptic number.

22845323904 is a gapful number since it is divisible by the number (24) 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 22845323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965380000).

22845323904 is an abundant number, since it is smaller than the sum of its proper divisors (43085436096).

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

22845323904 is a wasteful number, since it uses less digits than its factorization.

22845323904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40642 (or 40630 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 22845323904 in words is "twenty-two billion, eight hundred forty-five million, three hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 128 156 192 208 226 312 339 384 416 452 624 678 832 904 1248 1356 1469 1664 1808 2496 2712 2938 3616 4407 4992 5424 5876 7232 8814 10848 11752 14464 17628 21696 23504 35256 40499 43392 47008 70512 80998 94016 121497 141024 161996 188032 242994 282048 323992 485988 526487 564096 647984 971976 1052974 1295968 1579461 1943952 2105948 2591936 3158922 3887904 4211896 4576387 5183872 6317844 7775808 8423792 9152774 12635688 13729161 15551616 16847584 18305548 25271376 27458322 33695168 36611096 50542752 54916644 59493031 67390336 73222192 101085504 109833288 118986062 146444384 178479093 202171008 219666576 237972124 292888768 356958186 439333152 475944248 585777536 713916372 878666304 951888496 1427832744 1757332608 1903776992 2855665488 3807553984 5711330976 7615107968 11422661952 22845323904