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224002422340 = 225292633146681
BaseRepresentation
bin1101000010011110010…
…1011011011001000100
3210102012010002002000121
43100213211123121010
512132224110003330
6250523313151324
722116663113464
oct3204745333104
9712163062017
10224002422340
1186aa9589384
12374b5b5b544
131817ac85c48
14abadb8bba4
155c6079317a
hex342795b644

224002422340 has 48 divisors (see below), whose sum is σ = 486814088880. Its totient is φ = 86477834240.

The previous prime is 224002422313. The next prime is 224002422341. The reversal of 224002422340 is 43224200422.

It can be written as a sum of positive squares in 8 ways, for example, as 5563966464 + 218438455876 = 74592^2 + 467374^2 .

It is not an unprimeable number, because it can be changed into a prime (224002422341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453800 + ... + 1600480.

It is an arithmetic number, because the mean of its divisors is an integer number (10141960185).

Almost surely, 2224002422340 is an apocalyptic number.

224002422340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224002422340 is an abundant number, since it is smaller than the sum of its proper divisors (262811666540).

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

224002422340 is a wasteful number, since it uses less digits than its factorization.

224002422340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149352 (or 149350 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 224002422340 its reverse (43224200422), we get a palindrome (267226622762).

The spelling of 224002422340 in words is "two hundred twenty-four billion, two million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2633 5266 10532 13165 26330 52660 76357 146681 152714 293362 305428 381785 586724 733405 763570 1466810 1527140 2933620 4253749 8507498 17014996 21268745 42537490 85074980 386211073 772422146 1544844292 1931055365 3862110730 7724221460 11200121117 22400242234 44800484468 56000605585 112001211170 224002422340