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22450354440400 = 245268038250167
BaseRepresentation
bin1010001101011001000010…
…11001101100100011010000
32221111020021210122100001201
411012230201121230203100
510420311311214043100
6115425314521440544
74504661466063445
oct506544131544320
987436253570051
1022450354440400
117176161890617
122627042340154
13c6b0a04a54b3
145788627059cc
1528deba2b636a
hex146b2166c8d0

22450354440400 has 60 divisors (see below), whose sum is σ = 53944911492192. Its totient is φ = 8978820661120.

The previous prime is 22450354440361. The next prime is 22450354440403. The reversal of 22450354440400 is 404445305422.

It is a self number, because there is not a number n which added to its sum of digits gives 22450354440400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22450354440403) 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 11 ways as a sum of consecutive naturals, for example, 1403884 + ... + 6846283.

Almost surely, 222450354440400 is an apocalyptic number.

22450354440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22450354440400 is an abundant number, since it is smaller than the sum of its proper divisors (31494557051792).

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

22450354440400 is a wasteful number, since it uses less digits than its factorization.

22450354440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256988 (or 8256977 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 37.

Adding to 22450354440400 its reverse (404445305422), we get a palindrome (22854799745822).

The spelling of 22450354440400 in words is "twenty-two trillion, four hundred fifty billion, three hundred fifty-four million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6803 13606 27212 34015 54424 68030 108848 136060 170075 272120 340150 544240 680300 1360600 2721200 8250167 16500334 33000668 41250835 66001336 82501670 132002672 165003340 206254175 330006680 412508350 660013360 825016700 1650033400 3300066800 56125886101 112251772202 224503544404 280629430505 449007088808 561258861010 898014177616 1122517722020 1403147152525 2245035444040 2806294305050 4490070888080 5612588610100 11225177220200 22450354440400