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10400220404 = 227253062349
BaseRepresentation
bin10011010111110011…
…01100010011110100
3222211210211221022022
421223321230103310
5132244424023104
64440000452312
7515504262200
oct115371542364
928753757268
1010400220404
114457720582
12202301a098
13c998a8192
14709383b00
1540d0b6bbe
hex26be6c4f4

10400220404 has 18 divisors (see below), whose sum is σ = 21171877650. Its totient is φ = 4457237232.

The previous prime is 10400220403. The next prime is 10400220419. The reversal of 10400220404 is 40402200401.

It can be written as a sum of positive squares in only one way, i.e., 10302250000 + 97970404 = 101500^2 + 9898^2 .

It is a super-3 number, since 3×104002204043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400220403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26530979 + ... + 26531370.

It is an arithmetic number, because the mean of its divisors is an integer number (1176215425).

Almost surely, 210400220404 is an apocalyptic number.

10400220404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10400220404 is an abundant number, since it is smaller than the sum of its proper divisors (10771657246).

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

10400220404 is a wasteful number, since it uses less digits than its factorization.

10400220404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53062367 (or 53062358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10400220404 its reverse (40402200401), we get a palindrome (50802420805).

The spelling of 10400220404 in words is "ten billion, four hundred million, two hundred twenty thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 53062349 106124698 212249396 371436443 742872886 1485745772 2600055101 5200110202 10400220404