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22250880 = 273253863
BaseRepresentation
bin101010011100…
…0010110000000
31112212110110200
41110320112000
521144012010
62112525200
7360062241
oct124702600
945773420
1022250880
1111618463
127550800
1347c0b02
142d52cc8
151e47cc0
hex1538580

22250880 has 96 divisors (see below), whose sum is σ = 76854960. Its totient is φ = 5932032.

The previous prime is 22250863. The next prime is 22250887. The reversal of 22250880 is 8805222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22250887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3829 + ... + 7691.

Almost surely, 222250880 is an apocalyptic number.

22250880 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 22250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38427480).

22250880 is an abundant number, since it is smaller than the sum of its proper divisors (54604080).

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

22250880 is a wasteful number, since it uses less digits than its factorization.

22250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22250880 is about 4717.0838449194. The cubic root of 22250880 is about 281.2650243826.

The spelling of 22250880 in words is "twenty-two million, two hundred fifty thousand, eight hundred 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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3863 5760 7726 11589 15452 19315 23178 30904 34767 38630 46356 57945 61808 69534 77260 92712 115890 123616 139068 154520 173835 185424 231780 247232 278136 309040 347670 370848 463560 494464 556272 618080 695340 741696 927120 1112544 1236160 1390680 1483392 1854240 2225088 2472320 2781360 3708480 4450176 5562720 7416960 11125440 22250880