Search a number
-
+
2420222207040 = 2633511192233067
BaseRepresentation
bin100011001110000000011…
…111000010010001000000
322120101000110001202222000
4203032000133002101000
5304123103341111130
65051500145144000
7336566235220641
oct43160037022100
98511013052860
102420222207040
11853457382690
1233107b62b000
131472c260b4a1
14851d465b6c8
1542e4edd6260
hex233807c2440

2420222207040 has 1344 divisors, whose sum is σ = 10260954961920. Its totient is φ = 531500175360.

The previous prime is 2420222207003. The next prime is 2420222207041. The reversal of 2420222207040 is 407022220242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2420222206995 and 2420222207013.

It is not an unprimeable number, because it can be changed into a prime (2420222207041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 789115587 + ... + 789118653.

Almost surely, 22420222207040 is an apocalyptic number.

2420222207040 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 2420222207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130477480960).

2420222207040 is an abundant number, since it is smaller than the sum of its proper divisors (7840732754880).

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

2420222207040 is a wasteful number, since it uses less digits than its factorization.

2420222207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

Adding to 2420222207040 its reverse (407022220242), we get a palindrome (2827244427282).

It can be divided in two parts, 2420222 and 207040, that added together give a palindrome (2627262).

The spelling of 2420222207040 in words is "two trillion, four hundred twenty billion, two hundred twenty-two million, two hundred seven thousand, forty".