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2400420022 = 2711213109001
BaseRepresentation
bin1000111100010011…
…1000000010110110
320012021210222020021
42033010320002312
514404001420042
61034105155354
7113325143050
oct21704700266
96167728207
102400420022
111021a7a100
1256ba8bb5a
132c3404ba0
1418ab2c8d0
15e0b0a867
hex8f1380b6

2400420022 has 48 divisors (see below), whose sum is σ = 4871081376. Its totient is φ = 863280000.

The previous prime is 2400419969. The next prime is 2400420023. The reversal of 2400420022 is 2200240042.

It is a junction number, because it is equal to n+sod(n) for n = 2400419978 and 2400420005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400420023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32479 + ... + 76522.

It is an arithmetic number, because the mean of its divisors is an integer number (101480862).

Almost surely, 22400420022 is an apocalyptic number.

2400420022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2400420022 is an abundant number, since it is smaller than the sum of its proper divisors (2470661354).

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

2400420022 is a wasteful number, since it uses less digits than its factorization.

2400420022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109045 (or 109034 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2400420022 is about 48994.0814997077. The cubic root of 2400420022 is about 1338.9440002103.

Adding to 2400420022 its reverse (2200240042), we get a palindrome (4600660064).

The spelling of 2400420022 in words is "two billion, four hundred million, four hundred twenty thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 109001 218002 763007 1199011 1417013 1526014 2398022 2834026 8393077 9919091 13189121 15587143 16786154 19838182 26378242 31174286 92323847 109110001 171458573 184647694 218220002 342917146 1200210011 2400420022