Search a number
-
+
10223444532 = 22371943311479
BaseRepresentation
bin10011000010101110…
…10110001000110100
3222101111012210101210
421201113112020310
5131414200211112
64410243521420
7511226562510
oct114127261064
928344183353
1010223444532
114376960214
121b93989270
13c6c092982
146cdac9140
153ec7e8b3c
hex2615d6234

10223444532 has 192 divisors, whose sum is σ = 29520691200. Its totient is φ = 2688577920.

The previous prime is 10223444531. The next prime is 10223444549. The reversal of 10223444532 is 23544432201.

It is a self number, because there is not a number n which added to its sum of digits gives 10223444532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223444531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21343069 + ... + 21343547.

It is an arithmetic number, because the mean of its divisors is an integer number (153753600).

Almost surely, 210223444532 is an apocalyptic number.

10223444532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223444532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760345600).

10223444532 is an abundant number, since it is smaller than the sum of its proper divisors (19297246668).

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

10223444532 is a wasteful number, since it uses less digits than its factorization.

10223444532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10223444532 its reverse (23544432201), we get a palindrome (33767876733).

The spelling of 10223444532 in words is "ten billion, two hundred twenty-three million, four hundred forty-four thousand, five hundred thirty-two".