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22545040 = 2457127317
BaseRepresentation
bin101011000000…
…0001010010000
31120102101222111
41112000022100
521232420130
62123115104
7362425660
oct126001220
946371874
1022545040
11117a9471
127672a94
13489497b
142dcc1a0
151ea502a
hex1580290

22545040 has 80 divisors (see below), whose sum is σ = 60567552. Its totient is φ = 7644672.

The previous prime is 22545013. The next prime is 22545053. The reversal of 22545040 is 4054522.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70962 + ... + 71278.

Almost surely, 222545040 is an apocalyptic number.

22545040 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 22545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30283776).

22545040 is an abundant number, since it is smaller than the sum of its proper divisors (38022512).

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

22545040 is a wasteful number, since it uses less digits than its factorization.

22545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 22545040 is about 4748.1617495616. The cubic root of 22545040 is about 282.4990576103.

Adding to 22545040 its reverse (4054522), we get a palindrome (26599562).

The spelling of 22545040 in words is "twenty-two million, five hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 127 140 254 280 317 508 560 634 635 889 1016 1268 1270 1585 1778 2032 2219 2536 2540 3170 3556 4438 4445 5072 5080 6340 7112 8876 8890 10160 11095 12680 14224 17752 17780 22190 25360 35504 35560 40259 44380 71120 80518 88760 161036 177520 201295 281813 322072 402590 563626 644144 805180 1127252 1409065 1610360 2254504 2818130 3220720 4509008 5636260 11272520 22545040