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22645324928 = 274722832
BaseRepresentation
bin10101000101110001…
…000011110010000000
32011110012011200212002
4111011301003302000
5332334200344203
614223023523132
71431113041322
oct250561036200
964405150762
1022645324928
119670771876
12447ba594a8
13219b75a065
14114b765612
158c8100d88
hex545c43c80

22645324928 has 72 divisors (see below), whose sum is σ = 46257474555. Its totient is φ = 11042596608.

The previous prime is 22645324913. The next prime is 22645324931. The reversal of 22645324928 is 82942354622.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11322662464 + 11322662464 = 106408^2 + 106408^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106408.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80018675 + ... + 80018957.

Almost surely, 222645324928 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 22645324928

22645324928 is an abundant number, since it is smaller than the sum of its proper divisors (23612149627).

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

22645324928 is an frugal number, since it uses more digits than its factorization.

22645324928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 332 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 47.

The spelling of 22645324928 in words is "twenty-two billion, six hundred forty-five million, three hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 283 376 566 752 1132 1504 2209 2264 3008 4418 4528 6016 8836 9056 13301 17672 18112 26602 35344 36224 53204 70688 80089 106408 141376 160178 212816 282752 320356 425632 625147 640712 851264 1250294 1281424 1702528 2500588 2562848 3764183 5001176 5125696 7528366 10002352 10251392 15056732 20004704 30113464 40009408 60226928 80018816 120453856 176916601 240907712 353833202 481815424 707666404 1415332808 2830665616 5661331232 11322662464 22645324928