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22403120 = 245972887
BaseRepresentation
bin101010101110…
…1100000110000
31120011012022012
41111131200300
521213344440
62120102052
7361265135
oct125354060
946135265
1022403120
1111711883
127604928
1348451ac
142d9258c
151e77e65
hex155d830

22403120 has 40 divisors (see below), whose sum is σ = 52642464. Its totient is φ = 8865792.

The previous prime is 22403099. The next prime is 22403131. The reversal of 22403120 is 2130422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 22403095 and 22403104.

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 7 ways as a sum of consecutive naturals, for example, 6317 + ... + 9203.

Almost surely, 222403120 is an apocalyptic number.

22403120 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 22403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26321232).

22403120 is an abundant number, since it is smaller than the sum of its proper divisors (30239344).

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

22403120 is a wasteful number, since it uses less digits than its factorization.

22403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 22403120 is about 4733.1934251623. The cubic root of 22403120 is about 281.9050365155.

Adding to 22403120 its reverse (2130422), we get a palindrome (24533542).

The spelling of 22403120 in words is "twenty-two million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 2887 3880 5774 7760 11548 14435 23096 28870 46192 57740 115480 230960 280039 560078 1120156 1400195 2240312 2800390 4480624 5600780 11201560 22403120