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22001040 = 2432530557
BaseRepresentation
bin101001111101…
…1010110010000
31112101202202100
41103323112100
521113013130
62103320400
7355001655
oct123732620
945352670
1022001040
1111467786
127450100
134734189
142cc9c2c
151de8c60
hex14fb590

22001040 has 60 divisors (see below), whose sum is σ = 73889244. Its totient is φ = 5866752.

The previous prime is 22001033. The next prime is 22001047. The reversal of 22001040 is 4010022.

It is an interprime number because it is at equal distance from previous prime (22001033) and next prime (22001047).

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 17740944 = 2064^2 + 4212^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×220010402 = 968091522163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22001047) by changing a digit.

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, 14559 + ... + 15998.

Almost surely, 222001040 is an apocalyptic number.

22001040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001040 is an abundant number, since it is smaller than the sum of its proper divisors (51888204).

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

22001040 is a wasteful number, since it uses less digits than its factorization.

22001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30576 (or 30567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22001040 is about 4690.5266228858. The cubic root of 22001040 is about 280.2083483307.

Adding to 22001040 its reverse (4010022), we get a palindrome (26011062).

It can be divided in two parts, 2200 and 1040, that added together give a triangular number (3240 = T80).

The spelling of 22001040 in words is "twenty-two million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 30557 61114 91671 122228 152785 183342 244456 275013 305570 366684 458355 488912 550026 611140 733368 916710 1100052 1222280 1375065 1466736 1833420 2200104 2444560 2750130 3666840 4400208 5500260 7333680 11000520 22001040