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22530102040 = 23517193171671
BaseRepresentation
bin10100111110111001…
…100001001100011000
32011011011100202202201
4110332321201030120
5332120201231130
614203350135544
71425213464455
oct247671411430
964134322681
1022530102040
119611723146
1244493515b4
132180916634
14113a33082c
158bce40bca
hex53ee61318

22530102040 has 64 divisors (see below), whose sum is σ = 53953076160. Its totient is φ = 8437923840.

The previous prime is 22530102037. The next prime is 22530102043. The reversal of 22530102040 is 4020103522.

It is an interprime number because it is at equal distance from previous prime (22530102037) and next prime (22530102043).

It is a junction number, because it is equal to n+sod(n) for n = 22530101999 and 22530102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530102043) 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 15 ways as a sum of consecutive naturals, for example, 45405 + ... + 217075.

It is an arithmetic number, because the mean of its divisors is an integer number (843016815).

Almost surely, 222530102040 is an apocalyptic number.

22530102040 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 22530102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26976538080).

22530102040 is an abundant number, since it is smaller than the sum of its proper divisors (31422974120).

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

22530102040 is a wasteful number, since it uses less digits than its factorization.

22530102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171892 (or 171888 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 22530102040 its reverse (4020103522), we get a palindrome (26550205562).

The spelling of 22530102040 in words is "twenty-two billion, five hundred thirty million, one hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 340 386 680 772 965 1544 1930 3281 3860 6562 7720 13124 16405 26248 32810 65620 131240 171671 343342 686684 858355 1373368 1716710 2918407 3433420 5836814 6866840 11673628 14592035 23347256 29184070 33132503 58368140 66265006 116736280 132530012 165662515 265060024 331325030 563252551 662650060 1126505102 1325300120 2253010204 2816262755 4506020408 5632525510 11265051020 22530102040