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22400010 = 233582963
BaseRepresentation
bin101010101110…
…0110000001010
31120011001001000
41111130300022
521213300020
62120035430
7361253103
oct125346012
946131030
1022400010
111170a506
127602b76
134843959
142d913aa
151e77090
hex155cc0a

22400010 has 32 divisors (see below), whose sum is σ = 59734080. Its totient is φ = 5973264.

The previous prime is 22400009. The next prime is 22400023. The reversal of 22400010 is 1000422.

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

It is a junction number, because it is equal to n+sod(n) for n = 22399965 and 22400001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41212 + ... + 41751.

It is an arithmetic number, because the mean of its divisors is an integer number (1866690).

Almost surely, 222400010 is an apocalyptic number.

22400010 is an abundant number, since it is smaller than the sum of its proper divisors (37334070).

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

22400010 is a wasteful number, since it uses less digits than its factorization.

22400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82979 (or 82973 counting only the distinct ones).

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

The square root of 22400010 is about 4732.8648829224. The cubic root of 22400010 is about 281.8919912308.

Adding to 22400010 its reverse (1000422), we get a palindrome (23400432).

The spelling of 22400010 in words is "twenty-two million, four hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 82963 165926 248889 414815 497778 746667 829630 1244445 1493334 2240001 2488890 3733335 4480002 7466670 11200005 22400010