Search a number
-
+
22344324040400 = 2452431299088607
BaseRepresentation
bin1010001010010011100010…
…11111110100011011010000
32221010002121100201221011212
411011021301133310123100
510412042133423243100
6115304501334155252
74464216115414025
oct505116137643320
987102540657155
1022344324040400
1171351a145076a
12260a590ab2b28
13c610a3514c3b
1457368480154c
1528b36193b635
hex1452717f46d0

22344324040400 has 60 divisors (see below), whose sum is σ = 54930662700672. Its totient is φ = 8729875432320.

The previous prime is 22344324040387. The next prime is 22344324040481. The reversal of 22344324040400 is 404042344322.

22344324040400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 649527104 + ... + 649561503.

Almost surely, 222344324040400 is an apocalyptic number.

22344324040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22344324040400 is an abundant number, since it is smaller than the sum of its proper divisors (32586338660272).

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

22344324040400 is a wasteful number, since it uses less digits than its factorization.

22344324040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299088668 (or 1299088657 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 22344324040400 its reverse (404042344322), we get a palindrome (22748366384722).

The spelling of 22344324040400 in words is "twenty-two trillion, three hundred forty-four billion, three hundred twenty-four million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 2150 3440 4300 8600 17200 1299088607 2598177214 5196354428 6495443035 10392708856 12990886070 20785417712 25981772140 32477215175 51963544280 55860810101 64954430350 103927088560 111721620202 129908860700 223443240404 259817721400 279304050505 446886480808 519635442800 558608101010 893772961616 1117216202020 1396520252525 2234432404040 2793040505050 4468864808080 5586081010100 11172162020200 22344324040400