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22468350 = 2352473187
BaseRepresentation
bin101010110110…
…1011011111110
31120021111210010
41111231123332
521222441400
62121324050
7361656252
oct125553376
946244703
1022468350
1111756893
127636626
134868aa8
142dac262
151e8c450
hex156d6fe

22468350 has 48 divisors (see below), whose sum is σ = 56924928. Its totient is φ = 5862240.

The previous prime is 22468337. The next prime is 22468363. The reversal of 22468350 is 5386422.

It is an interprime number because it is at equal distance from previous prime (22468337) and next prime (22468363).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5457 + ... + 8643.

It is an arithmetic number, because the mean of its divisors is an integer number (1185936).

Almost surely, 222468350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22468350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28462464).

22468350 is an abundant number, since it is smaller than the sum of its proper divisors (34456578).

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

22468350 is a wasteful number, since it uses less digits than its factorization.

22468350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 22468350 is about 4740.0791132638. The cubic root of 22468350 is about 282.1783741464.

The spelling of 22468350 in words is "twenty-two million, four hundred sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3187 3525 6374 7050 9561 15935 19122 31870 47805 79675 95610 149789 159350 239025 299578 449367 478050 748945 898734 1497890 2246835 3744725 4493670 7489450 11234175 22468350