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22664005440 = 2635193122323
BaseRepresentation
bin10101000110111000…
…010100011101000000
32011111111022202200220
4111012320110131000
5332403441133230
614224532143040
71431430603416
oct250670243500
964444282626
1022664005440
11968027080a
124486167a80
1321a259aa0b
1411500292b6
158c9a90d10
hex546e14740

22664005440 has 112 divisors (see below), whose sum is σ = 72331649088. Its totient is φ = 6012370944.

The previous prime is 22664005439. The next prime is 22664005451. The reversal of 22664005440 is 4450046622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124119 + ... + 246441.

Almost surely, 222664005440 is an apocalyptic number.

22664005440 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 22664005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36165824544).

22664005440 is an abundant number, since it is smaller than the sum of its proper divisors (49667643648).

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

22664005440 is a wasteful number, since it uses less digits than its factorization.

22664005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122536 (or 122526 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 22664005440 in words is "twenty-two billion, six hundred sixty-four million, five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 193 240 320 386 480 579 772 960 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 12352 15440 18528 23160 30880 37056 46320 61760 92640 122323 185280 244646 366969 489292 611615 733938 978584 1223230 1467876 1834845 1957168 2446460 2935752 3669690 3914336 4892920 5871504 7339380 7828672 9785840 11743008 14678760 19571680 23486016 23608339 29357520 39143360 47216678 58715040 70825017 94433356 117430080 118041695 141650034 188866712 236083390 283300068 354125085 377733424 472166780 566600136 708250170 755466848 944333560 1133200272 1416500340 1510933696 1888667120 2266400544 2833000680 3777334240 4532801088 5666001360 7554668480 11332002720 22664005440