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22468950 = 23252721019
BaseRepresentation
bin101010110110…
…1100101010110
31120021112121100
41111231211112
521223001300
62121330530
7361661100
oct125554526
946245540
1022468950
1111757289
127636a46
13486914a
142dac570
151e8c700
hex156d956

22468950 has 108 divisors (see below), whose sum is σ = 70291260. Its totient is φ = 5130720.

The previous prime is 22468949. The next prime is 22468987. The reversal of 22468950 is 5986422.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21541 + ... + 22559.

It is an arithmetic number, because the mean of its divisors is an integer number (650845).

Almost surely, 222468950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22468950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35145630).

22468950 is an abundant number, since it is smaller than the sum of its proper divisors (47822310).

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

22468950 is a wasteful number, since it uses less digits than its factorization.

22468950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22468950 is about 4740.1424029242. The cubic root of 22468950 is about 282.1808859095.

The spelling of 22468950 in words is "twenty-two million, four hundred sixty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1019 1050 1225 1470 1575 2038 2205 2450 3057 3150 3675 4410 5095 6114 7133 7350 9171 10190 11025 14266 15285 18342 21399 22050 25475 30570 35665 42798 45855 49931 50950 64197 71330 76425 91710 99862 106995 128394 149793 152850 178325 213990 229275 249655 299586 320985 356650 449379 458550 499310 534975 641970 748965 898758 1069950 1248275 1497930 1604925 2246895 2496550 3209850 3744825 4493790 7489650 11234475 22468950