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22400380442934 = 23213313088003921
BaseRepresentation
bin1010001011111011111101…
…01110000001100100110110
32221022110022000202020012200
411011331332232001210312
510414001434343133214
6115350332005325330
74501242211110024
oct505757656014466
987273260666180
1022400380442934
117156a4786866a
122619416106846
13c66467c3b0b0
14576281623714
1528ca42d5ad09
hex145f7eb81936

22400380442934 has 48 divisors (see below), whose sum is σ = 53953604525184. Its totient is φ = 6670088467200.

The previous prime is 22400380442933. The next prime is 22400380442953. The reversal of 22400380442934 is 43924408300422.

It is a happy number.

22400380442934 is a `hidden beast` number, since 2 + 2 + 40 + 0 + 3 + 80 + 442 + 93 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22400380442934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400380442933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1543994707 + ... + 1544009214.

It is an arithmetic number, because the mean of its divisors is an integer number (1124033427608).

Almost surely, 222400380442934 is an apocalyptic number.

22400380442934 is an abundant number, since it is smaller than the sum of its proper divisors (31553224082250).

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

22400380442934 is a wasteful number, since it uses less digits than its factorization.

22400380442934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088003973 (or 3088003970 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 22400380442934 in words is "twenty-two trillion, four hundred billion, three hundred eighty million, four hundred forty-two thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 3088003921 6176007842 9264011763 18528023526 27792035289 40144050973 55584070578 80288101946 95728121551 120432152919 191456243102 240864305838 287184364653 361296458757 574368729306 722592917514 861553093959 1244465580163 1723106187918 2488931160326 3733396740489 7466793480978 11200190221467 22400380442934