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22211111220128 = 257342532235641
BaseRepresentation
bin1010000110011011011010…
…11001001111001110100000
32220122100202112022111200122
411003031231121033032200
510402401323433021003
6115123351005135412
74451462020212515
oct503155531171640
986570675274618
1022211111220128
117093752272176
1225a87b425a568
13c51663b3342c
1456b04877130c
15287b669e6238
hex14336d64f3a0

22211111220128 has 48 divisors (see below), whose sum is σ = 44337583019016. Its totient is φ = 10950844354560.

The previous prime is 22211111220121. The next prime is 22211111220161. The reversal of 22211111220128 is 82102211111222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17215761059344 + 4995350160784 = 4149188^2 + 2235028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22211111220097 and 22211111220106.

It is not an unprimeable number, because it can be changed into a prime (22211111220121) 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, 8817188 + ... + 11052828.

Almost surely, 222211111220128 is an apocalyptic number.

It is an amenable number.

22211111220128 is a deficient number, since it is larger than the sum of its proper divisors (22126471798888).

22211111220128 is a wasteful number, since it uses less digits than its factorization.

22211111220128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239977 (or 2239969 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The spelling of 22211111220128 in words is "twenty-two trillion, two hundred eleven billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 73 146 292 584 1168 2336 4253 8506 17012 34024 68048 136096 310469 620938 1241876 2235641 2483752 4471282 4967504 8942564 9935008 17885128 35770256 71540512 163201793 326403586 652807172 1305614344 2611228688 5222457376 9508181173 19016362346 38032724692 76065449384 152130898768 304261797536 694097225629 1388194451258 2776388902516 5552777805032 11105555610064 22211111220128