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23412225540 = 223511109503647
BaseRepresentation
bin10101110011011110…
…100011011000000100
32020102122020021201110
4111303132203120010
5340422012204130
614431101125020
71456114430214
oct256336433004
966378207643
1023412225540
119a24655630
124654859770
1322915c12c2
1411c1556244
159205daab0
hex5737a3604

23412225540 has 192 divisors, whose sum is σ = 72425041920. Its totient is φ = 5603765760.

The previous prime is 23412225539. The next prime is 23412225541. The reversal of 23412225540 is 4552221432.

It is an interprime number because it is at equal distance from previous prime (23412225539) and next prime (23412225541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23412225498 and 23412225507.

It is not an unprimeable number, because it can be changed into a prime (23412225541) 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 63 ways as a sum of consecutive naturals, for example, 36185497 + ... + 36186143.

It is an arithmetic number, because the mean of its divisors is an integer number (377213760).

Almost surely, 223412225540 is an apocalyptic number.

23412225540 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 23412225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36212520960).

23412225540 is an abundant number, since it is smaller than the sum of its proper divisors (49012816380).

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

23412225540 is a wasteful number, since it uses less digits than its factorization.

23412225540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 23412225540 its reverse (4552221432), we get a palindrome (27964446972).

The spelling of 23412225540 in words is "twenty-three billion, four hundred twelve million, two hundred twenty-five thousand, five hundred forty".