Search a number
-
+
10221024624 = 243479444547
BaseRepresentation
bin10011000010011100…
…00111010101110000
3222101022122211220120
421201032013111300
5131413040241444
64410120010240
7511200163416
oct114116072560
928338584816
1010221024624
114375558098
121b93000980
13c6b726385
146cd6592b6
153ec4bbb19
hex261387570

10221024624 has 40 divisors (see below), whose sum is σ = 26459496960. Its totient is φ = 3399887808.

The previous prime is 10221024617. The next prime is 10221024629. The reversal of 10221024624 is 42642012201.

It is a happy number.

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 = 10221024594 and 10221024603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221024629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199282 + ... + 245265.

It is an arithmetic number, because the mean of its divisors is an integer number (661487424).

Almost surely, 210221024624 is an apocalyptic number.

It is an amenable number.

10221024624 is an abundant number, since it is smaller than the sum of its proper divisors (16238472336).

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

10221024624 is a wasteful number, since it uses less digits than its factorization.

10221024624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445037 (or 445031 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10221024624 its reverse (42642012201), we get a palindrome (52863036825).

The spelling of 10221024624 in words is "ten billion, two hundred twenty-one million, twenty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 479 958 1437 1916 2874 3832 5748 7664 11496 22992 444547 889094 1333641 1778188 2667282 3556376 5334564 7112752 10669128 21338256 212938013 425876026 638814039 851752052 1277628078 1703504104 2555256156 3407008208 5110512312 10221024624