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224122000332 = 22341716415951
BaseRepresentation
bin1101000010111010110…
…1100101001111001100
3210102111110002021012010
43100232231211033030
512133000213002312
6250543224141220
722122644366406
oct3205655451714
9712443067163
10224122000332
118706003206a
123752a007810
1318199992a59
14abc19d7b76
155c6b01393c
hex342eb653cc

224122000332 has 48 divisors (see below), whose sum is σ = 543251487744. Its totient is φ = 71858640000.

The previous prime is 224122000327. The next prime is 224122000367. The reversal of 224122000332 is 233000221422.

It is a super-2 number, since 2×2241220003322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224122000299 and 224122000308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3173044 + ... + 3242907.

It is an arithmetic number, because the mean of its divisors is an integer number (11317739328).

Almost surely, 2224122000332 is an apocalyptic number.

It is an amenable number.

224122000332 is an abundant number, since it is smaller than the sum of its proper divisors (319129487412).

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

224122000332 is a wasteful number, since it uses less digits than its factorization.

224122000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416070 (or 6416068 counting only the distinct ones).

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

Adding to 224122000332 its reverse (233000221422), we get a palindrome (457122221754).

The spelling of 224122000332 in words is "two hundred twenty-four billion, one hundred twenty-two million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 41 71 82 123 142 164 213 246 284 426 492 852 2911 5822 8733 11644 17466 34932 6415951 12831902 19247853 25663804 38495706 76991412 263053991 455532521 526107982 789161973 911065042 1052215964 1366597563 1578323946 1822130084 2733195126 3156647892 5466390252 18676833361 37353666722 56030500083 74707333444 112061000166 224122000332