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22945084680 = 23357251108827
BaseRepresentation
bin10101010111101000…
…100011010100001000
32012020002020001221010
4111113220203110020
5333442420202210
614312452443520
71441413000420
oct252750432410
965202201833
1022945084680
1198049a1801
1245443195a0
1322188a26ab
1411794b5480
158e45b3920
hex557a23508

22945084680 has 128 divisors (see below), whose sum is σ = 78983009280. Its totient is φ = 5223648000.

The previous prime is 22945084661. The next prime is 22945084681. The reversal of 22945084680 is 8648054922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22945084681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156427 + ... + 265253.

It is an arithmetic number, because the mean of its divisors is an integer number (617054760).

Almost surely, 222945084680 is an apocalyptic number.

22945084680 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 22945084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39491504640).

22945084680 is an abundant number, since it is smaller than the sum of its proper divisors (56037924600).

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

22945084680 is a wasteful number, since it uses less digits than its factorization.

22945084680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109099 (or 109095 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 22945084680 in words is "twenty-two billion, nine hundred forty-five million, eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 251 280 420 502 753 840 1004 1255 1506 1757 2008 2510 3012 3514 3765 5020 5271 6024 7028 7530 8785 10040 10542 14056 15060 17570 21084 26355 30120 35140 42168 52710 70280 105420 108827 210840 217654 326481 435308 544135 652962 761789 870616 1088270 1305924 1523578 1632405 2176540 2285367 2611848 3047156 3264810 3808945 4353080 4570734 6094312 6529620 7617890 9141468 11426835 13059240 15235780 18282936 22853670 27315577 30471560 45707340 54631154 81946731 91414680 109262308 136577885 163893462 191209039 218524616 273155770 327786924 382418078 409733655 546311540 573627117 655573848 764836156 819467310 956045195 1092623080 1147254234 1529672312 1638934620 1912090390 2294508468 2868135585 3277869240 3824180780 4589016936 5736271170 7648361560 11472542340 22945084680