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22294080 = 263257741
BaseRepresentation
bin101010100001…
…0111001000000
31112221122201200
41111002321000
521201402310
62113501200
7360332214
oct125027100
945848650
1022294080
1111647966
127571800
134807683
142d64944
151e559c0
hex1542e40

22294080 has 84 divisors (see below), whose sum is σ = 76692252. Its totient is φ = 5944320.

The previous prime is 22294057. The next prime is 22294099. The reversal of 22294080 is 8049222.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 16064064 = 2496^2 + 4008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991 + ... + 6750.

It is an arithmetic number, because the mean of its divisors is an integer number (913003).

Almost surely, 222294080 is an apocalyptic number.

22294080 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 22294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38346126).

22294080 is an abundant number, since it is smaller than the sum of its proper divisors (54398172).

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

22294080 is a wasteful number, since it uses less digits than its factorization.

22294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22294080 is about 4721.6607247874. The cubic root of 22294080 is about 281.4469317055.

The spelling of 22294080 in words is "twenty-two million, two hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7741 15482 23223 30964 38705 46446 61928 69669 77410 92892 116115 123856 139338 154820 185784 232230 247712 278676 309640 348345 371568 464460 495424 557352 619280 696690 743136 928920 1114704 1238560 1393380 1486272 1857840 2229408 2477120 2786760 3715680 4458816 5573520 7431360 11147040 22294080