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10422223400 = 2352433120349
BaseRepresentation
bin10011011010011011…
…01000001000101000
3222220100020210202002
421231031220020220
5132321042122100
64442104230132
7516162302651
oct115515501050
928810223662
1010422223400
114469089776
12202a46b348
13ca13101c4
1470c270528
1540eeb12d5
hex26d368228

10422223400 has 48 divisors (see below), whose sum is σ = 24287833500. Its totient is φ = 4159226880.

The previous prime is 10422223379. The next prime is 10422223453. The reversal of 10422223400 is 432222401.

It can be written as a sum of positive squares in 6 ways, for example, as 2401588036 + 8020635364 = 49006^2 + 89558^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26426 + ... + 146774.

Almost surely, 210422223400 is an apocalyptic number.

10422223400 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 10422223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143916750).

10422223400 is an abundant number, since it is smaller than the sum of its proper divisors (13865610100).

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

10422223400 is a wasteful number, since it uses less digits than its factorization.

10422223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120798 (or 120789 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10422223400 its reverse (432222401), we get a palindrome (10854445801).

Subtracting from 10422223400 its reverse (432222401), we obtain a palindrome (9990000999).

The spelling of 10422223400 in words is "ten billion, four hundred twenty-two million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 433 866 1732 2165 3464 4330 8660 10825 17320 21650 43300 86600 120349 240698 481396 601745 962792 1203490 2406980 3008725 4813960 6017450 12034900 24069800 52111117 104222234 208444468 260555585 416888936 521111170 1042222340 1302777925 2084444680 2605555850 5211111700 10422223400