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45222272 = 27477517
BaseRepresentation
bin1010110010000…
…0100110000000
310011002112021222
42230200212000
543034103042
64253134212
71056245234
oct254404600
9104075258
1045222272
1123588187
121318a368
1394a4854
1460125c4
153e842d2
hex2b20980

45222272 has 32 divisors (see below), whose sum is σ = 92020320. Its totient is φ = 22127104.

The previous prime is 45222263. The next prime is 45222311. The reversal of 45222272 is 27222254.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2258 + ... + 9774.

It is an arithmetic number, because the mean of its divisors is an integer number (2875635).

Almost surely, 245222272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46010160).

45222272 is an abundant number, since it is smaller than the sum of its proper divisors (46798048).

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

45222272 is an equidigital number, since it uses as much as digits as its factorization.

45222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7566 counting only the distinct ones).

The product of its digits is 4480, while the sum is 26.

The square root of 45222272 is about 6724.7507016989. The cubic root of 45222272 is about 356.2739968651.

The spelling of 45222272 in words is "forty-five million, two hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 7517 15034 30068 60136 120272 240544 353299 481088 706598 962176 1413196 2826392 5652784 11305568 22611136 45222272