Search a number
-
+
22300033032 = 2332615077421
BaseRepresentation
bin10100110001001011…
…111000000000001000
32010120010110001102100
4110301023320000020
5331132302024112
614124451033400
71416421103364
oct246113700010
963503401370
1022300033032
119503872972
1243a429b860
132145061b24
1411179622a4
158a7b472dc
hex5312f8008

22300033032 has 48 divisors (see below), whose sum is σ = 61386031980. Its totient is φ = 7311484800.

The previous prime is 22300033001. The next prime is 22300033079. The reversal of 22300033032 is 23033000322.

22300033032 is a `hidden beast` number, since 2 + 2 + 300 + 0 + 330 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15950174436 + 6349858596 = 126294^2 + 79686^2 .

It is a super-2 number, since 2×223000330322 (a number of 21 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 = 22300032996 and 22300033014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2534319 + ... + 2543102.

Almost surely, 222300033032 is an apocalyptic number.

It is an amenable number.

22300033032 is an abundant number, since it is smaller than the sum of its proper divisors (39085998948).

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

22300033032 is a wasteful number, since it uses less digits than its factorization.

22300033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077494 (or 5077487 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 22300033032 its reverse (23033000322), we get a palindrome (45333033354).

The spelling of 22300033032 in words is "twenty-two billion, three hundred million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 5077421 10154842 15232263 20309684 30464526 40619368 45696789 60929052 91393578 121858104 182787156 309722681 365574312 619445362 929168043 1238890724 1858336086 2477781448 2787504129 3716672172 5575008258 7433344344 11150016516 22300033032