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10434022224 = 243217375463
BaseRepresentation
bin10011011011110101…
…01000101101010000
3222221011110020200120
421231322220231100
5132332102202344
64443205150240
7516364503603
oct115572505520
928834406616
1010434022224
11447480836a
1220323bb380
13ca38b1762
1470da6233a
15411042219
hex26dea8b50

10434022224 has 20 divisors (see below), whose sum is σ = 26954557536. Its totient is φ = 3478007392.

The previous prime is 10434022223. The next prime is 10434022229. The reversal of 10434022224 is 42222043401.

10434022224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10434022194 and 10434022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108687684 + ... + 108687779.

Almost surely, 210434022224 is an apocalyptic number.

It is an amenable number.

10434022224 is an abundant number, since it is smaller than the sum of its proper divisors (16520535312).

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

10434022224 is a wasteful number, since it uses less digits than its factorization.

10434022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217375474 (or 217375468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10434022224 its reverse (42222043401), we get a palindrome (52656065625).

The spelling of 10434022224 in words is "ten billion, four hundred thirty-four million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 217375463 434750926 652126389 869501852 1304252778 1739003704 2608505556 3478007408 5217011112 10434022224