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22275480 = 23352937173
BaseRepresentation
bin101010011111…
…0010110011000
31112220201012210
41110332112120
521200303410
62113235120
7360224043
oct124762630
945821183
1022275480
1111634997
127562aa0
1347cc076
142d5bc5a
151e50220
hex153e598

22275480 has 128 divisors (see below), whose sum is σ = 71409600. Its totient is φ = 5548032.

The previous prime is 22275437. The next prime is 22275493. The reversal of 22275480 is 8457222.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128674 + ... + 128846.

Almost surely, 222275480 is an apocalyptic number.

22275480 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 22275480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35704800).

22275480 is an abundant number, since it is smaller than the sum of its proper divisors (49134120).

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

22275480 is a wasteful number, since it uses less digits than its factorization.

22275480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 22275480 is about 4719.6906678298. The cubic root of 22275480 is about 281.3686393302.

The spelling of 22275480 in words is "twenty-two million, two hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 111 116 120 145 148 173 174 185 222 232 290 296 346 348 370 435 444 519 555 580 692 696 740 865 870 888 1038 1073 1110 1160 1384 1480 1730 1740 2076 2146 2220 2595 3219 3460 3480 4152 4292 4440 5017 5190 5365 6401 6438 6920 8584 10034 10380 10730 12802 12876 15051 16095 19203 20068 20760 21460 25085 25604 25752 30102 32005 32190 38406 40136 42920 50170 51208 60204 64010 64380 75255 76812 96015 100340 120408 128020 128760 150510 153624 185629 192030 200680 256040 301020 371258 384060 556887 602040 742516 768120 928145 1113774 1485032 1856290 2227548 2784435 3712580 4455096 5568870 7425160 11137740 22275480