Search a number
-
+
224001300042 = 23313319090171
BaseRepresentation
bin1101000010011110000…
…1001001011001001010
3210102012000222001112000
43100213201021121022
512132223313100132
6250523233131430
722116650430462
oct3204741113112
9712160861460
10224001300042
1186aa8992163
12374b56b9b76
131817a982170
14abad978ba2
155c6062087c
hex342784964a

224001300042 has 32 divisors (see below), whose sum is σ = 536071488960. Its totient is φ = 68923476720.

The previous prime is 224001300031. The next prime is 224001300043. The reversal of 224001300042 is 240003100422.

It is a super-2 number, since 2×2240013000422 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224001299988 and 224001300024.

It is not an unprimeable number, because it can be changed into a prime (224001300043) 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, 159544384 + ... + 159545787.

It is an arithmetic number, because the mean of its divisors is an integer number (16752234030).

Almost surely, 2224001300042 is an apocalyptic number.

224001300042 is an abundant number, since it is smaller than the sum of its proper divisors (312070188918).

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

224001300042 is a wasteful number, since it uses less digits than its factorization.

224001300042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319090195 (or 319090189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 224001300042 its reverse (240003100422), we get a palindrome (464004400464).

The spelling of 224001300042 in words is "two hundred twenty-four billion, one million, three hundred thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 319090171 638180342 957270513 1914541026 2871811539 4148172223 5743623078 8296344446 8615434617 12444516669 17230869234 24889033338 37333550007 74667100014 112000650021 224001300042