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10403422224 = 2431338942859
BaseRepresentation
bin10011011000001011…
…11010000000010000
3222212000212121101020
421230011322000100
5132301234002344
64440153235440
7515543426016
oct115405720020
928760777336
1010403422224
114459508108
122024102b80
13c9a459650
147099788b6
1540d4ea719
hex26c17a010

10403422224 has 80 divisors (see below), whose sum is σ = 29017934400. Its totient is φ = 3192749568.

The previous prime is 10403422219. The next prime is 10403422229. The reversal of 10403422224 is 42222430401.

It is an interprime number because it is at equal distance from previous prime (10403422219) and next prime (10403422229).

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 = 10403422194 and 10403422203.

It is not an unprimeable number, because it can be changed into a prime (10403422229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221307 + ... + 264165.

It is an arithmetic number, because the mean of its divisors is an integer number (362724180).

Almost surely, 210403422224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10403422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508967200).

10403422224 is an abundant number, since it is smaller than the sum of its proper divisors (18614512176).

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

10403422224 is a wasteful number, since it uses less digits than its factorization.

10403422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43272 (or 43266 counting only the distinct ones).

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

Adding to 10403422224 its reverse (42222430401), we get a palindrome (52625852625).

The spelling of 10403422224 in words is "ten billion, four hundred three million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 389 624 778 1167 1556 2334 3112 4668 5057 6224 9336 10114 15171 18672 20228 30342 40456 42859 60684 80912 85718 121368 128577 171436 242736 257154 342872 514308 557167 685744 1028616 1114334 1671501 2057232 2228668 3343002 4457336 6686004 8914672 13372008 16672151 26744016 33344302 50016453 66688604 100032906 133377208 200065812 216737963 266754416 400131624 433475926 650213889 800263248 866951852 1300427778 1733903704 2600855556 3467807408 5201711112 10403422224