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22272480 = 2532515467
BaseRepresentation
bin101010011110…
…1100111100000
31112220120002200
41110331213200
521200204410
62113213200
7360212226
oct124754740
945816080
1022272480
111163270a
127561200
1347ca8a9
142d5ab16
151e4e3c0
hex153d9e0

22272480 has 72 divisors (see below), whose sum is σ = 76009752. Its totient is φ = 5938944.

The previous prime is 22272473. The next prime is 22272521. The reversal of 22272480 is 8427222.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 6294 + ... + 9173.

It is an arithmetic number, because the mean of its divisors is an integer number (1055691).

Almost surely, 222272480 is an apocalyptic number.

22272480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22272480 is an abundant number, since it is smaller than the sum of its proper divisors (53737272).

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

22272480 is a wasteful number, since it uses less digits than its factorization.

22272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15477 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22272480 is about 4719.3728396896. The cubic root of 22272480 is about 281.3560074466.

The spelling of 22272480 in words is "twenty-two million, two hundred seventy-two thousand, four 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 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 15467 30934 46401 61868 77335 92802 123736 139203 154670 185604 232005 247472 278406 309340 371208 464010 494944 556812 618680 696015 742416 928020 1113624 1237360 1392030 1484832 1856040 2227248 2474720 2784060 3712080 4454496 5568120 7424160 11136240 22272480