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10400223432 = 233433342643
BaseRepresentation
bin10011010111110011…
…01101000011001000
3222211210212002110110
421223321231003020
5132244424122212
64440000514320
7515504304054
oct115371550310
928753762413
1010400223432
114457722885
12202301b9a0
13c998a9681
14709384c64
1540d0b7a3c
hex26be6d0c8

10400223432 has 16 divisors (see below), whose sum is σ = 26000558640. Its totient is φ = 3466741136.

The previous prime is 10400223419. The next prime is 10400223523. The reversal of 10400223432 is 23432200401.

10400223432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10400223399 and 10400223408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216671298 + ... + 216671345.

It is an arithmetic number, because the mean of its divisors is an integer number (1625034915).

Almost surely, 210400223432 is an apocalyptic number.

10400223432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400223432 is an abundant number, since it is smaller than the sum of its proper divisors (15600335208).

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

10400223432 is a wasteful number, since it uses less digits than its factorization.

10400223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433342652 (or 433342648 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10400223432 its reverse (23432200401), we get a palindrome (33832423833).

The spelling of 10400223432 in words is "ten billion, four hundred million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 433342643 866685286 1300027929 1733370572 2600055858 3466741144 5200111716 10400223432