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224011104335040 = 26351159359545301
BaseRepresentation
bin110010111011110010100110…
…010011001011010011000000
31002101011020211000112221011110
4302323302212103023103000
5213330144220202210130
62112233140342043320
765120160664544301
oct6273624623132300
91071136730487143
10224011104335040
1165416637492250
122115aa29719540
1397cc205a96699
143d462a3c907a8
151ad7099bcdab0
hexcbbca64cb4c0

224011104335040 has 224 divisors, whose sum is σ = 789043737957120. Its totient is φ = 53385286144000.

The previous prime is 224011104335003. The next prime is 224011104335069. The reversal of 224011104335040 is 40533401110422.

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 = 224011104334989 and 224011104335007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179149611 + ... + 180395690.

Almost surely, 2224011104335040 is an apocalyptic number.

224011104335040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224011104335040 is an abundant number, since it is smaller than the sum of its proper divisors (565032633622080).

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

224011104335040 is a wasteful number, since it uses less digits than its factorization.

224011104335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359545391 (or 359545381 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 224011104335040 its reverse (40533401110422), we get a palindrome (264544505445462).

The spelling of 224011104335040 in words is "two hundred twenty-four trillion, eleven billion, one hundred four million, three hundred thirty-five thousand, forty".