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10223244240 = 243511231011667
BaseRepresentation
bin10011000010101101…
…00101001111010000
3222101110211121122120
421201112211033100
5131414122303430
64410235334240
7511225066536
oct114126451720
928343747576
1010223244240
114376833790
121b938b1380
13c6c022761
146cda76156
153ec7a9610
hex2615a53d0

10223244240 has 320 divisors, whose sum is σ = 36455380992. Its totient is φ = 2345728000.

The previous prime is 10223244233. The next prime is 10223244299. The reversal of 10223244240 is 4244232201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10223244240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6131887 + ... + 6133553.

Almost surely, 210223244240 is an apocalyptic number.

10223244240 is a gapful number since it is divisible by the number (10) 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 10223244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18227690496).

10223244240 is an abundant number, since it is smaller than the sum of its proper divisors (26232136752).

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

10223244240 is a wasteful number, since it uses less digits than its factorization.

10223244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1812 counting only the distinct ones).

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

Adding to 10223244240 its reverse (4244232201), we get a palindrome (14467476441).

The spelling of 10223244240 in words is "ten billion, two hundred twenty-three million, two hundred forty-four thousand, two hundred forty".