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22012109680 = 245111011671483
BaseRepresentation
bin10100100000000001…
…100010001101110000
32002211001200000211111
4110200001202031300
5330040100002210
614040123523104
71406323562611
oct244001421560
962731600744
1022012109680
119376297890
124323989494
1320ca501b92
1410cb613c08
1588c72188a
hex520062370

22012109680 has 160 divisors (see below), whose sum is σ = 56759367168. Its totient is φ = 7872384000.

The previous prime is 22012109663. The next prime is 22012109683. The reversal of 22012109680 is 8690121022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012109683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14842219 + ... + 14843701.

Almost surely, 222012109680 is an apocalyptic number.

22012109680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012109680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28379683584).

22012109680 is an abundant number, since it is smaller than the sum of its proper divisors (34747257488).

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

22012109680 is a wasteful number, since it uses less digits than its factorization.

22012109680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 22012109680 in words is "twenty-two billion, twelve million, one hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 167 176 202 220 334 404 440 505 668 808 835 880 1010 1111 1336 1483 1616 1670 1837 2020 2222 2672 2966 3340 3674 4040 4444 5555 5932 6680 7348 7415 8080 8888 9185 11110 11864 13360 14696 14830 16313 16867 17776 18370 22220 23728 29392 29660 32626 33734 36740 44440 59320 65252 67468 73480 81565 84335 88880 118640 130504 134936 146960 149783 163130 168670 185537 247661 261008 269872 299566 326260 337340 371074 495322 599132 652520 674680 742148 748915 927685 990644 1198264 1238305 1305040 1349360 1484296 1497830 1647613 1855370 1981288 2396528 2476610 2724271 2968592 2995660 3295226 3710740 3962576 4953220 5448542 5991320 6590452 7421480 8238065 9906440 10897084 11982640 13180904 13621355 14842960 16476130 19812880 21794168 25013761 26361808 27242710 32952260 43588336 50027522 54485420 65904520 100055044 108970840 125068805 131809040 200110088 217941680 250137610 275151371 400220176 500275220 550302742 1000550440 1100605484 1375756855 2001100880 2201210968 2751513710 4402421936 5503027420 11006054840 22012109680