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22011224128 = 263126941243
BaseRepresentation
bin10100011111111110…
…001010000001000000
32002211000000001002021
4110133332022001000
5330034333133003
614040052531224
71406313214045
oct243776120100
962730001067
1022011224128
119375842523
124323620b14
1320ca281a9a
1410cb4631cc
1588c5e92bd
hex51ff8a040

22011224128 has 56 divisors (see below), whose sum is σ = 45256216320. Its totient is φ = 10610741760.

The previous prime is 22011224117. The next prime is 22011224129. The reversal of 22011224128 is 82142211022.

It is a happy number.

It is a super-2 number, since 2×220112241282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22011224129) 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, 513075 + ... + 554317.

It is an arithmetic number, because the mean of its divisors is an integer number (808146720).

Almost surely, 222011224128 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 22011224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22628108160).

22011224128 is an abundant number, since it is smaller than the sum of its proper divisors (23244992192).

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

22011224128 is a wasteful number, since it uses less digits than its factorization.

22011224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41555 (or 41545 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 22011224128 in words is "twenty-two billion, eleven million, two hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 269 496 538 992 1076 1984 2152 4304 8339 8608 16678 17216 33356 41243 66712 82486 133424 164972 266848 329944 533696 659888 1278533 1319776 2557066 2639552 5114132 10228264 11094367 20456528 22188734 40913056 44377468 81826112 88754936 177509872 343925377 355019744 687850754 710039488 1375701508 2751403016 5502806032 11005612064 22011224128