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22040013024 = 253276527823
BaseRepresentation
bin10100100001101011…
…111110100011100000
32002220000011200000200
4110201223332203200
5330114220404044
614043001545200
71410113006511
oct244153764340
962800150020
1022040013024
119390015aa7
1243311a5200
132103221733
1410d11d8a08
1588edd4369
hex521afe8e0

22040013024 has 36 divisors (see below), whose sum is σ = 62676287856. Its totient is φ = 7346670912.

The previous prime is 22040013007. The next prime is 22040013041. The reversal of 22040013024 is 42031004022.

It is an interprime number because it is at equal distance from previous prime (22040013007) and next prime (22040013041).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22040012988 and 22040013006.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 38263624 + ... + 38264199.

It is an arithmetic number, because the mean of its divisors is an integer number (1741007996).

Almost surely, 222040013024 is an apocalyptic number.

22040013024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22040013024 is an abundant number, since it is smaller than the sum of its proper divisors (40636274832).

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

22040013024 is a wasteful number, since it uses less digits than its factorization.

22040013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76527839 (or 76527828 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22040013024 its reverse (42031004022), we get a palindrome (64071017046).

The spelling of 22040013024 in words is "twenty-two billion, forty million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 76527823 153055646 229583469 306111292 459166938 612222584 688750407 918333876 1224445168 1377500814 1836667752 2448890336 2755001628 3673335504 5510003256 7346671008 11020006512 22040013024