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22404135040 = 27575000923
BaseRepresentation
bin10100110111011000…
…111111100010000000
32010211101022222112021
4110313120333202000
5331340424310130
614143050211224
71422124001650
oct246730774200
963741288467
1022404135040
119557606291
124413123b14
1321607b0751
141127700360
158b1d5c37a
hex53763f880

22404135040 has 64 divisors (see below), whose sum is σ = 61211309760. Its totient is φ = 7681416192.

The previous prime is 22404135011. The next prime is 22404135041. The reversal of 22404135040 is 4053140422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 22404134996 and 22404135014.

It is not an unprimeable number, because it can be changed into a prime (22404135041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2495982 + ... + 2504941.

It is an arithmetic number, because the mean of its divisors is an integer number (956426715).

Almost surely, 222404135040 is an apocalyptic number.

22404135040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22404135040 is an abundant number, since it is smaller than the sum of its proper divisors (38807174720).

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

22404135040 is an equidigital number, since it uses as much as digits as its factorization.

22404135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000949 (or 5000937 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 22404135040 its reverse (4053140422), we get a palindrome (26457275462).

It can be divided in two parts, 224041 and 35040, that added together give a square (259081 = 5092).

The spelling of 22404135040 in words is "twenty-two billion, four hundred four million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 5000923 10001846 20003692 25004615 35006461 40007384 50009230 70012922 80014768 100018460 140025844 160029536 175032305 200036920 280051688 320059072 350064610 400073840 560103376 640118144 700129220 800147680 1120206752 1400258440 1600295360 2240413504 2800516880 3200590720 4480827008 5601033760 11202067520 22404135040