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22623414016 = 28776916417
BaseRepresentation
bin10101000100011101…
…011110011100000000
32011101122221111201211
4111010131132130000
5332313043222031
614220522135504
71430425563160
oct250435363400
964348844654
1022623414016
11965a366885
124474651594
132197057c18
1411488a05a0
158c6223bb1
hex54475e700

22623414016 has 72 divisors (see below), whose sum is σ = 51679923680. Its totient is φ = 9682550784.

The previous prime is 22623413963. The next prime is 22623414017. The reversal of 22623414016 is 61041432622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22623414017) 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, 1369840 + ... + 1386256.

Almost surely, 222623414016 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 22623414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25839961840).

22623414016 is an abundant number, since it is smaller than the sum of its proper divisors (29056509664).

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

22623414016 is an equidigital number, since it uses as much as digits as its factorization.

22623414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17209 (or 17195 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 22623414016 its reverse (61041432622), we get a palindrome (83664846638).

The spelling of 22623414016 in words is "twenty-two billion, six hundred twenty-three million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 769 896 1538 1792 3076 5383 6152 10766 12304 16417 21532 24608 32834 43064 49216 65668 86128 98432 114919 131336 172256 196864 229838 262672 344512 459676 525344 689024 919352 1050688 1378048 1838704 2101376 3677408 4202752 7354816 12624673 14709632 25249346 29419264 50498692 88372711 100997384 176745422 201994768 353490844 403989536 706981688 807979072 1413963376 1615958144 2827926752 3231916288 5655853504 11311707008 22623414016