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2223100304040 = 233572111719106411
BaseRepresentation
bin100000010110011011000…
…110101001101010101000
321212112012200102120022210
4200112123012221222220
5242410402134212130
64421140030445120
7316420332541200
oct40263306515250
97775180376283
102223100304040
117878a2190350
122baa279637a0
131318396616b5
14798548cd400
153cc644765b0
hex2059b1a9aa8

2223100304040 has 768 divisors, whose sum is σ = 9433040716800. Its totient is φ = 411883315200.

The previous prime is 2223100304027. The next prime is 2223100304041. The reversal of 2223100304040 is 404030013222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2223100303998 and 2223100304016.

It is not an unprimeable number, because it can be changed into a prime (2223100304041) 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, 20838435 + ... + 20944845.

It is an arithmetic number, because the mean of its divisors is an integer number (12282605100).

Almost surely, 22223100304040 is an apocalyptic number.

2223100304040 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 2223100304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716520358400).

2223100304040 is an abundant number, since it is smaller than the sum of its proper divisors (7209940412760).

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

2223100304040 is a wasteful number, since it uses less digits than its factorization.

2223100304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106486 (or 106475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2223100304040 its reverse (404030013222), we get a palindrome (2627130317262).

The spelling of 2223100304040 in words is "two trillion, two hundred twenty-three billion, one hundred million, three hundred four thousand, forty".