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22052640 = 253545943
BaseRepresentation
bin101010000011…
…1111100100000
31112111101112110
41110013330200
521121141030
62104355320
7355305261
oct124077440
945441473
1022052640
11114a2525
127475b40
1347517cc
142d00968
151e091b0
hex1507f20

22052640 has 48 divisors (see below), whose sum is σ = 69467328. Its totient is φ = 5880576.

The previous prime is 22052633. The next prime is 22052651. The reversal of 22052640 is 4625022.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22492 + ... + 23451.

It is an arithmetic number, because the mean of its divisors is an integer number (1447236).

Almost surely, 222052640 is an apocalyptic number.

22052640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22052640 is an abundant number, since it is smaller than the sum of its proper divisors (47414688).

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

22052640 is a wasteful number, since it uses less digits than its factorization.

22052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45961 (or 45953 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 22052640 is about 4696.0238500246. The cubic root of 22052640 is about 280.4272389210.

Adding to 22052640 its reverse (4625022), we get a palindrome (26677662).

The spelling of 22052640 in words is "twenty-two million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 45943 91886 137829 183772 229715 275658 367544 459430 551316 689145 735088 918860 1102632 1378290 1470176 1837720 2205264 2756580 3675440 4410528 5513160 7350880 11026320 22052640