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22438823031400 = 2352112194115157
BaseRepresentation
bin1010001101000011100100…
…00100110111001001101000
32221110010112011021001201111
411012201302010313021220
510420114202144001100
6115420130351400104
74504102644526306
oct506416204671150
987403464231644
1022438823031400
117171284693336
122624964523034
13c69c83449669
1457808b025276
1528da42c576ba
hex146872137268

22438823031400 has 24 divisors (see below), whose sum is σ = 52170263548470. Its totient is φ = 8975529212480.

The previous prime is 22438823031377. The next prime is 22438823031431. The reversal of 22438823031400 is 413032883422.

It can be written as a sum of positive squares in 3 ways, for example, as 15001105011876 + 7437718019524 = 3873126^2 + 2727218^2 .

It is a super-3 number, since 3×224388230314003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 56097057379 + ... + 56097057778.

Almost surely, 222438823031400 is an apocalyptic number.

22438823031400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22438823031400 is an abundant number, since it is smaller than the sum of its proper divisors (29731440517070).

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

22438823031400 is a wasteful number, since it uses less digits than its factorization.

22438823031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112194115173 (or 112194115164 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 22438823031400 in words is "twenty-two trillion, four hundred thirty-eight billion, eight hundred twenty-three million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 112194115157 224388230314 448776460628 560970575785 897552921256 1121941151570 2243882303140 2804852878925 4487764606280 5609705757850 11219411515700 22438823031400