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22077063168 = 21433114489
BaseRepresentation
bin10100100011111001…
…010100000000000000
32002222120220000021020
4110203321110000000
5330203212010133
614050404025440
71411042640436
oct244371240000
962876800236
1022077063168
1193a9a21356
124341692280
13210aac46b4
1410d60c0d56
158932a20b3
hex523e54000

22077063168 has 120 divisors (see below), whose sum is σ = 60773610240. Its totient is φ = 7121141760.

The previous prime is 22077063143. The next prime is 22077063181. The reversal of 22077063168 is 86136077022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516468 + ... + 1530956.

It is an arithmetic number, because the mean of its divisors is an integer number (506446752).

Almost surely, 222077063168 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 22077063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30386805120).

22077063168 is an abundant number, since it is smaller than the sum of its proper divisors (38696547072).

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

22077063168 is an equidigital number, since it uses as much as digits as its factorization.

22077063168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14551 (or 14525 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 22077063168 in words is "twenty-two billion, seventy-seven million, sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 4096 5952 6144 7936 8192 11904 12288 14489 15872 16384 23808 24576 28978 31744 43467 47616 49152 57956 63488 86934 95232 115912 126976 173868 190464 231824 253952 347736 380928 449159 463648 507904 695472 761856 898318 927296 1347477 1390944 1523712 1796636 1854592 2694954 2781888 3593272 3709184 5389908 5563776 7186544 7418368 10779816 11127552 14373088 14836736 21559632 22255104 28746176 29673472 43119264 44510208 57492352 59346944 86238528 89020416 114984704 118693888 172477056 178040832 229969408 237387776 344954112 356081664 459938816 689908224 712163328 919877632 1379816448 1839755264 2759632896 3679510528 5519265792 7359021056 11038531584 22077063168